{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3.0 GARCH"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check the VaR from GARCH method.  \n",
    "Assumption:\n",
    "- Method: Python 3.7 + `statsmodels` package + `numpy` package + `scipy` package\n",
    "- The Log Return is normally distributed\n",
    "\n",
    "The website of the testing you can see this:  \n",
    "https://gitee.com/danielsou0622/FINC4012-Project/blob/master/section/3_garch.ipynb\n",
    "\n",
    "## Reference\n",
    "Website Reference:  \n",
    "[Python玩转金融时间序列之ARCH与GARCH模型](https://zhuanlan.zhihu.com/p/80869865)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Begin the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import statsmodels.tsa.api as smt\n",
    "import statsmodels.api as sm\n",
    "import scipy.stats as scs\n",
    "from scipy import stats\n",
    "from scipy.stats import norm,t\n",
    "from scipy import optimize\n",
    "from scipy.special import gammaln\n",
    "from arch import arch_model\n",
    "from arch.unitroot import ADF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plot the graph\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>DGS10_%</th>\n",
       "      <th>dgs10</th>\n",
       "      <th>ytm</th>\n",
       "      <th>price</th>\n",
       "      <th>Yield To Maturity</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2017-03-01</td>\n",
       "      <td>2.46</td>\n",
       "      <td>0.0246</td>\n",
       "      <td>0.0335</td>\n",
       "      <td>418.22</td>\n",
       "      <td>0.0335</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2017-03-02</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>417.90</td>\n",
       "      <td>0.0337</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2017-03-03</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0336</td>\n",
       "      <td>417.97</td>\n",
       "      <td>0.0336</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2017-03-06</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>417.83</td>\n",
       "      <td>0.0337</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-07</td>\n",
       "      <td>2.52</td>\n",
       "      <td>0.0252</td>\n",
       "      <td>0.0340</td>\n",
       "      <td>417.03</td>\n",
       "      <td>0.0340</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date  DGS10_%   dgs10     ytm   price  Yield To Maturity\n",
       "0 2017-03-01     2.46  0.0246  0.0335  418.22             0.0335\n",
       "1 2017-03-02     2.49  0.0249  0.0337  417.90             0.0337\n",
       "2 2017-03-03     2.49  0.0249  0.0336  417.97             0.0336\n",
       "3 2017-03-06     2.49  0.0249  0.0337  417.83             0.0337\n",
       "4 2017-03-07     2.52  0.0252  0.0340  417.03             0.0340"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "link = '../data/portfolio.xlsx'\n",
    "sp500 = pd.read_excel(link)\n",
    "sp500.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>DGS10_%</th>\n",
       "      <th>dgs10</th>\n",
       "      <th>ytm</th>\n",
       "      <th>price</th>\n",
       "      <th>Yield To Maturity</th>\n",
       "      <th>log_return</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2017-03-01</td>\n",
       "      <td>2.46</td>\n",
       "      <td>0.0246</td>\n",
       "      <td>0.0335</td>\n",
       "      <td>418.22</td>\n",
       "      <td>0.0335</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2017-03-02</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>417.90</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>-0.000765</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2017-03-03</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0336</td>\n",
       "      <td>417.97</td>\n",
       "      <td>0.0336</td>\n",
       "      <td>0.000167</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2017-03-06</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>417.83</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>-0.000335</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-07</td>\n",
       "      <td>2.52</td>\n",
       "      <td>0.0252</td>\n",
       "      <td>0.0340</td>\n",
       "      <td>417.03</td>\n",
       "      <td>0.0340</td>\n",
       "      <td>-0.001916</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date  DGS10_%   dgs10     ytm   price  Yield To Maturity  log_return\n",
       "0 2017-03-01     2.46  0.0246  0.0335  418.22             0.0335    0.000000\n",
       "1 2017-03-02     2.49  0.0249  0.0337  417.90             0.0337   -0.000765\n",
       "2 2017-03-03     2.49  0.0249  0.0336  417.97             0.0336    0.000167\n",
       "3 2017-03-06     2.49  0.0249  0.0337  417.83             0.0337   -0.000335\n",
       "4 2017-03-07     2.52  0.0252  0.0340  417.03             0.0340   -0.001916"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500['log_return'] = np.log(sp500.price / sp500.price.shift(1))\n",
    "sp500.loc[0,'log_return'] = 0\n",
    "sp500.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    772.000000\n",
       "mean       0.000171\n",
       "std        0.003082\n",
       "min       -0.028437\n",
       "25%       -0.001021\n",
       "50%        0.000289\n",
       "75%        0.001479\n",
       "max        0.018649\n",
       "Name: log_return, dtype: float64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_return = sp500['log_return']\n",
    "log_return.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
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       "\n",
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       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>DGS10_%</th>\n",
       "      <th>dgs10</th>\n",
       "      <th>ytm</th>\n",
       "      <th>price</th>\n",
       "      <th>Yield To Maturity</th>\n",
       "      <th>log_return</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>772.000000</td>\n",
       "      <td>772.000000</td>\n",
       "      <td>772.000000</td>\n",
       "      <td>772.000000</td>\n",
       "      <td>772.000000</td>\n",
       "      <td>772.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>2.373886</td>\n",
       "      <td>0.023739</td>\n",
       "      <td>0.034745</td>\n",
       "      <td>446.670259</td>\n",
       "      <td>0.034745</td>\n",
       "      <td>0.000171</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.519638</td>\n",
       "      <td>0.005196</td>\n",
       "      <td>0.004740</td>\n",
       "      <td>24.817859</td>\n",
       "      <td>0.004740</td>\n",
       "      <td>0.003082</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.540000</td>\n",
       "      <td>0.005400</td>\n",
       "      <td>0.022700</td>\n",
       "      <td>413.870000</td>\n",
       "      <td>0.022700</td>\n",
       "      <td>-0.028437</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>2.070000</td>\n",
       "      <td>0.020700</td>\n",
       "      <td>0.031100</td>\n",
       "      <td>428.927500</td>\n",
       "      <td>0.031100</td>\n",
       "      <td>-0.001021</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>2.390000</td>\n",
       "      <td>0.023900</td>\n",
       "      <td>0.033600</td>\n",
       "      <td>434.910000</td>\n",
       "      <td>0.033600</td>\n",
       "      <td>0.000289</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>2.830000</td>\n",
       "      <td>0.028300</td>\n",
       "      <td>0.039300</td>\n",
       "      <td>463.425000</td>\n",
       "      <td>0.039300</td>\n",
       "      <td>0.001479</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>3.240000</td>\n",
       "      <td>0.032400</td>\n",
       "      <td>0.045300</td>\n",
       "      <td>515.470000</td>\n",
       "      <td>0.045300</td>\n",
       "      <td>0.018649</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          DGS10_%       dgs10         ytm       price  Yield To Maturity  \\\n",
       "count  772.000000  772.000000  772.000000  772.000000         772.000000   \n",
       "mean     2.373886    0.023739    0.034745  446.670259           0.034745   \n",
       "std      0.519638    0.005196    0.004740   24.817859           0.004740   \n",
       "min      0.540000    0.005400    0.022700  413.870000           0.022700   \n",
       "25%      2.070000    0.020700    0.031100  428.927500           0.031100   \n",
       "50%      2.390000    0.023900    0.033600  434.910000           0.033600   \n",
       "75%      2.830000    0.028300    0.039300  463.425000           0.039300   \n",
       "max      3.240000    0.032400    0.045300  515.470000           0.045300   \n",
       "\n",
       "       log_return  \n",
       "count  772.000000  \n",
       "mean     0.000171  \n",
       "std      0.003082  \n",
       "min     -0.028437  \n",
       "25%     -0.001021  \n",
       "50%      0.000289  \n",
       "75%      0.001479  \n",
       "max      0.018649  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ADF Testing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>   <td>-10.479</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.000</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                  <td>10</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                -10.479\n",
       "P-value                         0.000\n",
       "Lags                               10\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ADF(sp500.log_return)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Result\n",
    "The result shows that A series who has heteroskedasticity can be explored under ARCH model or GARCH model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    772.000000\n",
       "mean       0.000171\n",
       "std        0.003082\n",
       "min       -0.028437\n",
       "25%       -0.001021\n",
       "50%        0.000289\n",
       "75%        0.001479\n",
       "max        0.018649\n",
       "Name: log_return, dtype: float64"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_return = sp500['log_return']\n",
    "log_return.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sp500_size = sp500.shape[0]\n",
    "xticklabel = sp500.loc[:,'date'].apply(lambda x: str(x.year) + '-' + str(x.month) + '-' + str(x.day))\n",
    "xticks = np.arange(0, sp500_size + 1, np.int((sp500_size + 1 ) / 4))\n",
    "X = np.arange(sp500.shape[0])\n",
    "\n",
    "plt.figure( figsize = [10,8])\n",
    "SP = plt.axes()\n",
    "SP2 = SP.twinx()\n",
    "# SP.plot(X, sp500_rm['price'], color = 'black', label = 'Price')\n",
    "SP2.plot(X, sp500['log_return'], label = 'Log Return')\n",
    "SP.plot(X, sp500['price'], label = \"Price\", color = 'red')\n",
    "\n",
    "sp500_size = sp500.shape[0]\n",
    "xticklabel = sp500.loc[:,'date'].apply(lambda x: str(x.year) + '-' + str(x.month) + '-' + str(x.day))\n",
    "xticks = np.arange(0, sp500_size + 1, np.int((sp500_size + 1 ) / 5))\n",
    "SP.set_xticks(xticks)\n",
    "SP.set_xticklabels(xticklabel[xticks])\n",
    "\n",
    "plt.grid()\n",
    "plt.legend(loc='best')\n",
    "plt.title(\"Price and Log Return\", size=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def acf_pacf_plot(data, lags=None):\n",
    "    #判断是否为pandas的Series格式数据\n",
    "    if not isinstance(data, pd.Series):\n",
    "        data = pd.Series(data)\n",
    "        \n",
    "    #设定画面风格，这里设置为'bmh', colspan=2\n",
    "    with plt.style.context('bmh'):\n",
    "        fig = plt.figure(figsize=(10,8))\n",
    "        #设置子图\n",
    "        layout = (3,1)\n",
    "        ts_ax = plt.subplot2grid(layout, (0,0), colspan=2)\n",
    "        acf_ax = plt.subplot2grid(layout, (1,0))\n",
    "        pacf_ax = plt.subplot2grid(layout, (2,0))\n",
    "        data.plot(ax = ts_ax)\n",
    "        ts_ax.set_title(\"Time Series Graph\")\n",
    "        # Set the ACF graph\n",
    "        smt.graphics.plot_acf(data, lags = lags, ax = acf_ax, alpha = 0.5)\n",
    "        acf_ax.set_title(\"ACF\")\n",
    "        # Set the PACF graph\n",
    "        smt.graphics.plot_acf(data, lags = lags, ax = pacf_ax, alpha = 0.5)\n",
    "        pacf_ax.set_title(\"PACF\")\n",
    "        \n",
    "        plt.tight_layout()\n",
    "    return\n",
    "\n",
    "#设置20阶滞后期\n",
    "acf_pacf_plot(log_return, lags = 20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Eop8HA6Exl3fKKMh2u32si6AYZZSvWmqh5J1aKHmnHkrmE5u+wVisWL8vOObyThkFWZF6qEFRaqHknVooeaceSuYTm369gjwYHHN5p4yCrLJYpB69vb1jXQTFKKLknVooeaceSuYTm35fIPrZ7QuOubxTRkFWQXqpR2lp6VgXQTGKKHmnFkreqYeS+cRG72LRNxgYc3mnjIIcCASG3kkxoejq6hrrIihGESXv1ELJO/VQMp/YmH2Qx1reKaMgK1IPlfs6tVDyTi2UvFMPJfOJTf9gzJDZ7wuOubxTRkFWS02nHmM9PaMYXZS8Uwsl79RDyXxi0+eLWZD9QUleYfEYliaFFGSVBzn1aG1tHesiKEYRJe/UQsk79VAyn9j4dHmQAXbvGVt5p4yCPNbpQhSjT05OzlgXQTGKKHmnFkreqYeS+cQmEDK6VKRlZI1RSTRSRkFWKBQKhUKhUIxPzAqyL6h8kEcFlQc59ejv7x/rIihGESXv1ELJO/VQMp/YmBXknn73GJVEI2UUZJUHOfUoLy8f6yIoRhEl79RCyTv1UDKf2PhNFuPcgsIxKolGyijIKg9y6tHe3j7WRVCMIkreqYWSd+qhZD6xMVuQ2zq7x6gkGimjICtSDyHEWBdBMYooeacWSt6ph5L5xMZvUpD9oQQ7jhIpoyCrPMipR1FR0VgXQTGKKHmnFkreqYeS+cQmEHaxcNq1gVB61thmLRk3CrIQ4nQhxFYhRK0Q4kcWv6cLIR4L//6+EGJqeHuxEOINIUS/EOJvic6v8iCnHmo6LrVQ8k4tlLxTDyXziU3ExSLbqaXl7ex2jWVxxoeCLISwA/8HnAHMB74ohJhv2u0bQLeUcibwR+A34e1e4P8BNyW7hsqDnHrk5eWNdREUo4iSd2qh5J16KJlPbCIKclaapq/ZnRljWZzxoSADhwO1UsqdUkof8Chwrmmfc4H7wp+fBE4SQggppVtKuQpNUVYooqjUfqmFkndqoeSdeiiZHzh0Dfi5891GmlyDwz4mENKcjiMWZG9gbOU9XhxzJwENuu+NwBGJ9pFSBoQQLqAY6BjOBTo6OjjmmGNwOBwEg0EuuOACrrvuOlpaWsjOzsZut9Pb20tpaSldXV1IKSktLaW1tTW6ek9/fz/l5eW0t7cjhKCoqIj29nby8vIIBoO43W4qKipoaWkhLS2N/Px8Ojo6yM/Px+fz4fF4or87nU5yc3Pp7OyksLAQj8eD1+uN/p6RkUFmZibd3d0UFxfT19eHz+eL/p6ZmYnT6cTlclFSUoLL5cLv90d/V/dUTnNzM16vd0Ld00SU0766p/7+ftxu94S6p4kop311Tz6fD5/PN6HuaSLKaV/ek9frxe12T6h7mohyKioq4ufLdrKx08+KnV385tj8Yd2T26Mp0+k2zZLs6nPDGLqdCynHdqUSACHEhcDpUsorw9+/DBwhpbxet8+G8D6N4e87wvt0hL9/FThUf4yet99+W86fb/baUExkBgcHSU9PH+tiKEYJJe/UQsk79VAyP3C49KH1dHm09LrLr1wyrGOuXrqZum4vR9fk8069iy8uLuEgR/vqk0466dD9WdZEjBcXiyZgsu57dXib5T5CCAeQD3QO9wIqSC/1aGlpGesiKEYRJe/UQsk79VAyP4DYi4x85iC9rt6xXTlxvCjIHwKzhBDThBBO4FLgOdM+zwFXhD9fCLwuR2D+VvkTUw+1emJqoeSdWih5px5K5hMbs4IclGOrt40LH+SwT/H1wDLADvxbSrlRCHEb8JGU8jngHuABIUQt0IWmRAMghKgD8gCnEOI84FQp5Sb9NVQWi9QjPz9/rIugGEWUvFMLJe/UQ8n8wEHshQk5kgc5oiDjGNsB0bhQkAGklC8BL5m23aL77AUuSnDs1KHOr5aaTj06OjrIzs4e62IoRgkl79RCyTv1UDI/cNgb268/muZNc27oH/BqzrRjxHhxsdjvKAty6qGsDamFkndqoeQ9sQiGhvaYVDKf2JhdLKRtbG24KaMgj4dsHYrRxefzjXURFKOIkndqoeQ9cVi5q5tz7l3LBw3JV05TMp/YBIJaHuTIQiFe/9jmQU4ZBTkUTkCtSB08Hs9YF0ExikTkHQxJvAH1vk901Ps9cfjFa3X4Q5Jfvl6XdL9UkXlISlzeA9wtdC98LKIuFk5NNV3bNvxFRvYHKaMgq+jX1KOiomKsi6AYRSLyvu6ZLZx331qlJE9w1Ps98RhKp0oVmf/q9TouenA9m9vcY12UvWak+nFISiJeNtlp48MlNmUU5AMpD3IgJJVLyD5A5cxMLSLy3tnlJSRhzwiWOFUceBwo7/c79T2squsZ62IcENhtydWqA0Xmn5YVu7T68srWYS/1MO4YSWbd93a7eHV7FwBpNoHTMT5U0/FRilHAZkt8q00uLy9v7SQ0DpTSHo+fC+5fx59WNQy9syIpTqdzrIugGEWcTic+ndXYYVe5zycyB8L7HZKSW/+7i9te3TWsILRUx2bSqqSUhue2r2QekpJnN7ZT150aLhtjTZPLm/T3W5bv5PcrdwNau51uHx+q6fgoxSiQTEH+2hOb+eNbu3lzR/colsiaFTt78AZCvHwAjxzHC7m5uWNdBMUokpubS+9gzG/PH1QuFhOZA+H9HvDFgozcvrENODoQMBuQf/F6HZc+vIG/vN3AJ3v69pnM39jRzf+928jVS7fsk/PtL8aBzW6v0edB/toTm9nTO7wZPYdNME7049RRkIeTB3lH59iPJv37wMpwILpn9A8GhhxljpTOTjXISCU6OzsNgS2+4IH3HiiGz96+36M5U+j2hXSflYI8FGYL8lu7enB5A7ywuYMfvFRrkHlISpqHqXSZGQ99/XCQGOtqMCS5b3UzG1rGdgnmveGjxt5h7eewCSpy0zlkUi6n1mTs51IlJ2UUZIdj6Hx6Q7g/jQqBT5lt48+rdnP10i2GqeYDgcse3cjXnthMa9++S+NTWFi4z86lGP8UFhbS640pIcqCPLHZm/e70+3nogfX858P9+yHEsWjV4r7lYI8JJ0Dft7aldhfOys3lgf5L283cMXjm/jFa7tYuWvo2V+3L8hLWzroHzxws0O8saObh9a08N0Xtg+5b4fbN2TavNGk0z28ODDNgiz41RkzufqISfu5VMlJGQV5OGnexEi8yhNQ3+35VOlZAp/S6vXilk7qe7xsbD2wol89fk0+2zsG9t05D5CUQE9taONXb9TtU8vWQ2tauGX5jlH1exxrC5nH41EW5BRib97vpRva6BsM8sja1v1Qonjc/vGtILf0DTI4TGPKplY37+128dSGtn0+26fn56/toq3f2lCytbUv+vmlLZo1eeWuHi1N3BAD4r+/28ifVjXw6zfrDW1tS9++Debd2enh4TUtw36uI6HdPXwD0pce2chPlu1kY2tia/Oquh4eXNNimHUOyfgkASEp+aix91O18Z0Dw1OQ03SxI2PdhysFWcfeWJC7PX5++2YdW9vdNPcNctXSLVz2yIa9KKGGX9epj9RVQr//eLCGjzVe79CNuJSSh9a0jOlI+x/vNfHGju59mtLnvtXNvLe7d9TSBN2/upnz718XN43m9gXpHaV8nl6v1+CD7FMW5AnFv95v4j8f7sHjD7KuuY+Bveg8R3MQt3xbJ9/TWfrcg+NLQX54TQtfeWwTv3mzPrqtrttjaWH1B0P8z/PbuGX5Tv7xXhNXPrl52NcJhiRr9vThSbDog9V72jngt1R4t7YPsL6lny0W7Vr/EM93dbht+qChF73d4CuPbeLDhuFN/w/F7h4v1zy9hXtXN/O+RZ/iC4Z4YXPHsK2pZhVguDY8/bNuSTIre9uru7h/dTNb2gfY1jHAX95u4KuPb+I7zxst1C9u7uDHr+zgF6/tGl4BLMranuCezYYhhy5ebDh9+P4kZRTkRHmQA7o3ZW/sTW/t6uHV2m6e3djO+mZtpLY3lqtGl5f7VzfToRtlDSY4T0hK3q130e0xVrgBf6xBCRyoEdP7ULEfTs7Mdc393Le6mZ8s2/mpr+fxB/mosXdEVlv9vvtDZKNVDR5co6Vfum91s2H7ZY9s4MIH14+KslpRUWGwIPuVBflT0zXg56PG3n0a1/BBg4s7VtaPyA1sMBDiyfVtPLK2lZuX7eCmF2v5pDd9xNce2E8KckhKtncMGN7nSFR+hPFkQfb4g9wbfldX1fXgD4bY1eXh6qVbuObp+MC1re3Gmb2RvFrPb+7ghy/VcnuCRUCsZNLjCVjmMXfJdL73wnZueG5b3G99QzzfoqyYDmCWxfLtRn/2dc39rGvuY6Ss1LmH9HjiBxr3fdTMX95u4OfDVDTNj9k2zA5yQ0tsABHx697V5eGJda2W/VOn28/1z2zlhc0dtPT52NTm5i+rGqJZPpaHU7Ctbkr8TOq6PUnfr0RBeuamxaGz7o113uuUUZAT5UHWC3RvFhaI+My+Wtsd1yCOhBue3caDa1r4b7giQuJlFl/d3sVP/7szbpSnt57pleXxjv6F3ZfxM8PJmdk2gimrofjdit38+JUdPL5u+NO3+kbUuxcyC4Qkm9vcCZXy0Y4G1g/M/MFQtB4mmjLdl7S0tBis1XqlPCQlT21oo3YfuvCkAt98ags/fmUHHw4zwGY4/GTZTpZt6+KZje3DPkZv+Y10/m/Wdoz42u79tHTt0vVtXPfMVv71flPCfT6tguz2BfeZG1afydq6uW2ANXs05aet39hXftDgGpbPayJW7tT8g99PYKXVBzJG6BzwW/bHzd2J3QX6hvAt1ivIfaZZrdz0WIxSMCS56cXt3PRi7YhnHFw6o5XVsa/Vav37pnCb/c/3GnkjSfYsvbSXrm/j7mH6zm/QuVVEnuM3n9rCXR/sieoY+j5jwOK9eGFLBzeGByJDDWbXNPVx9dIt/FNX/81GukQuFsE4C3JMQR7rvNcpoyAnSvOmr8R7o6AkUrBG6vtp1Xh6ElTKyCjOPCLr0wUoefza1PY79T3DLktIShpdXmTYB2n5ts6Eoz63L8i3nt7CY0P48q1r7huykdH7ag3Hb2tzm5vvv7h9yByWGRlDR8DqZf5p/XUjiwE8vzm+416+rZN1zfGNu77R2JsO9K4PmrjxuW08/EmsIdFPTY52QhN9o6jvhJNN8w0Xjz/IJ3v6Eloz7WnpCX2QV+3q4R/vNfGtZ7YO61pdA/597pvo9gWH7MTXNfezo3PfKfFSSv76dsOQ72kiIs9Tb5HaV2zvHEg409U94Gd3jza9KqW07MCLs5Kvjnr767u45qktbG5z4/YF6fb42aazhD63qZ1fvrZrxLNtvmCI+1c3G+IlHl/XBsDTG9vxBUOW5/w07h3NfYOcf/86/jACI4zVglMbW/txeQNxz3Ntc1/C+JdEQXP3rW4eVn7nnPTkq6JZDVq6BvyW/XFvEs8Es9JvpiAjpgT3xCnIsTLq25BP9iS2mEopWdfcZ3in9ecd8AWRUtLkGowObLp0BpEVO7tZuqGdX71RB8C79S6Wb+s0ykz3+Z9JBl9m9PdgNrRFMn/o+5vGBIsqRWKDEs1mR3hhi9bnRbKD7Oz00GFyqUhUT5JZkIfTh+9PUl5B1jcUiXykIgRCkr+/22jwV23vT2CZ3geWipEq7GYL8s9e3cWt/93Fc5uGZ6l5+JNWvv7EZp7b1MHS9W38fuVufrp8J+tb+lm2rZO+wQCPrm2hw+3jv9u7qO30cE+SEe079T3c9GItP3q5Fog0KP1xSoLeUvDbFfUs35Y8fdMPXqplbXM/dwzRWWRmZrK13c3OJCl9unUN1kg6sMFAiJe3dFgGZJqnmeq7Pfx+5W5uejHeCqNXkPemA316gybbJ9e3Rbd5dPVmtP1w67u9fO+F7YSkNNTHfaEg//vDPfzgpVoeWhMbDLi8Aba0udnd4+XqV5p5c2esM9dbPZpMA72QlNy/upk1CaYML314A195bBPeQIjajgEeXNPyqQdQVy/dzCUPbUg4COz1Brjpxe1c+/TwlPjh0O728/zmDu75cE/C8q+q62FVkswBsH9iGj7Z08/5968zyNPtC/Lk+jYueXgDVz65mXfqe7jwwfW8vCW+TSjOTuxiEQhJ3tzZw84uDzc+t43fvlnPrf/dSa9OibH3VakAACAASURBVPrbO42s2NXDe/Ujiz9Yvq2LB9e0cF2CwdZVT27m6qXxPrqb29z88a3de+WTH7n/5boZRj0dbp9hlsYbCHHFYxu57dXYVP6bO7r5zvPbueyRDXzXNPvY4fYnTDGayPL30JoWVtX1sHRDG9c+vcXyXarv9hhmyawGt1btXiILssvC2hxhKB9kvU9sXbfRtzUzLaYf6F0XP07iUvDubhc3vVjLTTrrul62bl+Il7Z28rUnNnHnu0blNjfdzjpdqrYBX5Cf/ldbLEP/vCJ6qdXMQbLZBPPMuN5okum0xcWGDJWCTS+jiJ7U7vbxz/ca2d3tjb5DXQN++gcDlm46Emsl2Xwf+tR2mZmZScu1v0kZBTlRHmSj4EO8VtvFVUs3s2Jnt257kE2tbp7f1M4zG9sN/qqJpo4TKTuPrW2NTrNESDR9YW4gHvmkha89vslg2brr/aaoEtRrGr2uD7+Ab+4c3gIo94d90u5d3cwzYaW6vkdTeO5YuZubX9nBvz9s5ifLdgzLl++jRq1xifivvbe7V5u6Mk3Xme/zqQ3JFfqIgtE1RFRsY1sn3352G9c8vSWh1VE/yu0dQfqfW5bv5I+rGnjkk/gpILN7iz44wdw5Gi3II+s49Y2aPn+o/nla+cP3egO8ur2LQEji8gb4w8rdBsvap2V9Sz91XV5DyrXhWGOllNQlyQLz7CbNSnH/x7Fn/pNlO7jhuW3c+W4j5tdI3+Gb86u+v7uXB9e08MPw4E2PPkip0+3n289u5f7VzTyaxAq7fFsnd6ysj+sAAiHJa7VdNLm8tLv9BELaLI0V+kHEUAOb4bqD6eub1WyXPxjitld3cdtryS2BQy0BPFz0bZ3LG2AwEDL4rT++rtXgprBsWxd9g0He3R2vxLo9HppcXq54bGN0mdoI5vr27m4Xm9us63iXZ3gBUxE6dM/R7QvSbWqHmvt8lha5j5v6eHlrJ399J36VVF8wxL8/3BOXcSAYknS6/QZrn7ktC4YkX3pkI5c/ujFqud7a5qbd7edtnfJ/1wdN4WvJuNmqAX/QYCDS179I+1WVZ72K3d0f7GFHp4cfvlxrGPz5gyGuWrqFLbq2xerdtgpeTKQg93gT9ztDzc7oYxLMg9RAUFuxT0pJc29MvsmCnCP92y6dsq2/v35fgMfDbcazm9oNhrWsNLthBkLvwtSuj0MKl9NK+de37R5/kDW62TW9kcTrDxn0lHXN/Vzy0Hr++FbMwFSbxIg04Asa7ivS717z1BaWbmjnyqWbo21tl8dPQwJrNMS7U0B8nMwe3fPv7h7bxduGTg48QUiUB1nv//R+Q2/UT+qXr9fR7wsyoyiT+z9u5qPGPoPpH7TOL9HoeiCBX1XE4vrZGYXRTjuRm4a5gfjPR1pH0qQb7D2xvo2irDS+sKjMYB0xNnYjs3y5fUFLBT/S0O3s8tI3GHMj+P6L2/nu8VOozDVadPJ1U1pdA/5opPAu0+jdbCkfbjqYdN167Y0uLx829HLuglJsQuALhGgLZQGaZWzAHyLbGT/V1zEQe/bJpuj8wRCr6no4cko+XQP+qL/eBw29XHNkuDx2YTkVpW+c6ro9LK6MrQbVZbAgWys9/mAoqkgsKM/hxBmFNLm8/PiVHdF9bELrOD9u6jM8F7OiFZKSbzy5OdrgfdDg4s2dPby728UTly9KeP8j5eM9fVTkxDrU4ViQ7/2omUfWtpJuF9x/6QIKM41T6DWFGdSH644/GCLNbosOvqyCR/T13qzfJatje3Rl7fH4o1acDxt6uWxJLGjk6Q1t5GU4OGlmUTT+YH55Dh829HLR4jLmlWXzxLpW/vNRsyF1UaNrEIdNsLa5nzPnluCwCaSUtPbrrxugLMdaIdnQ0s93X9jOlYdXcfHicst9fMEQaTZhmPJtcg2yscXNlnY31x1VjRCCroHY773eAIU6twV9+7Ovgn7NU9tmzJas1rCiazUYtjsz+N2K3TT3+fjtinpOnlUU/a0pSScdVyZTMFUgpClLa5v7WFSRww9eqmVmcSbHTi3goKpccnTtyLef3aopcyOY7avrih8gfdDQy6NrW3l0bSt3nj+HrDQ76Q4b961u5uWtnYa29Pz713HHWbOYUZwFwM6umHLj8gZ4a1cPf3+3MbrN4w8SDEnLLALpDhuDgRADvpBBCXL7gtS5vQRDMmpEmFKQYVBerPiosZdjphYAGBTNCG39fmxCcM+HezhzbjFzSrMN9T5C54DfUplOVg3N7beU0pC6NdkiXPd/3ML7Db0cPjmPB3QDcPM5e70BXqvt4oy5JWSlxdsXe0wWZP0Vf/5aXfRza7+PDp3urZ/B0We48AVDbO8YsPQB9/qDZITb+rs/2MPzmzv42qGVfPHgCoORxhMIGWbQIor9hmGmgjXLp3PAj8Nms+wvQ5KkcR7BkARTN2y2IOvlXlxcPKYLfqWMgmyV5s3jT+4T+OdVxpG+vpPwBUJ0evwJM19E/KqCIclzm9rxBkK8XhsbDTX3+piUrymUiZQHfaObzGIUsZYYpnf00+wBrfF7flM7J80sojLPqMiGpIy716HQN7Zrm/v5x3tN/OyU6YZ99OXZ0u42KAlrmvo4uCqHtc39/OAloxXP5Q3gC4Zw2m34AiHs4cThYFT8bUKwrX2AvAw733hiMxJwOmyUZTu5edkOijJiDVin22+tIOvu42/vNNDh9vPXc+fEKSd/ebuBZdu6OHd+SbRjAqINFEBGmp3BoHbPf3xrN5ceXE5lbrph8ZO6bi+LK3MJhiSPrm01WA4eW9uKDajIS+eUWUXRAdnvVtRHXQee3dTBiTMK40bpNiFYVeeKi472BYw19N16V7QB2tTqjlqYXN4AHn+Q7R0DFGc5o3VzOFhN9X2yp4+ja2JJ/ZuHYUGOdPSDQcmGFjfHTSsw/J6uizjc1jHAgvKcuHNkpdk4ZVYxz25qxx9+Z+q7PQbFKxCShnfZ7Qsa6oZ+dS69z+CmNs1dp83t41/vN0WthJ+dEVuw4s53G/EGtMHUyTMLeTX8zuutVw09Xp5c38bW9gH29A5yyKQ8fvn6Lkp1da7b40+oIEd8Ee/+YA8XLy6nocdLVpqd4mxNuW1yebn6qS2cM89YVxtdg1HF6YTphSyqyDEMELs9AQoyHVGlQv/+7u72xj2ntn4fm9vcHFqdx6/fqCPLaedHJ9Yw4A/R4/FTkZvOW7t6OGxyXvQ4q8h+0Kx/uekOg8IOMWuSVdBxv2eQBlfs/f3+i9u59ZTpZDvtCX0qizIdZKTZDIqevm72DQb4+hOxAeRZc0vY2j7A1vYBXtzSydVHTDK0xYmuk4yIztbW70NKzUqpj6d4blMHL281KgV6pWHAH+Lap7dyVE0+t548zRDb0OsNGJRjCPvzJug/SrPTaHQNMuAPYtMZEbe0DfDT/8ZmSp12QXnO0G2CXmlqsJgpaekf5JVtnby8tZNXtnay7MollnEuOzo9BveQ4RC59qvbu9ja7uatXT1ctqSCs+eXAkOvMRCRsx6zoeh3K+p5v6GXt+tcFGTG1KfBQAinXRhmzdy+oMG/1my11hfnI90AXz949wcld6zcbemWNahr2yNxL//5qJn5ZdkGF0+vP2Q5WBku5lnPDrefN3fEu2RV5TnZ0+tLugaD1SxVsjiZvr6RZxLZl6Ssgtw/GOALD6yPU3DnlmaxpCp3yETyNy/bwVqLoKsIkRdrdVMvd74X71y/q9sTVUISNbKRRu3NHd1JFx+JKI96Zd+8gtNlj2zAF5R0DQS44djJgDba/9f7TVywsCyuQQYozHQYfHSTYeVXpy/zL1+rM4zgf/hyLVcfMSlh1HfngJ8Mu42vPbGJhRU5/PzU6QghDJah3T1ern/W6AdY1+XlgY81S3uXNybzuz5oYl5ZNju7PPzos1OjVju9gry9Q+shLn90I9ceOYnzF5ZFf1u2TZvCjUzzR9APFPSd0MtbO9nV5eEv584xjMD/9k4jiytz2N3jjUuJBkTrXXu/j68cUonbFzT41UYwP2+7gPctpqHNuUT1loR1Lf0Gxe0vbzfwWm03M4szueqISaza1cP5C7XO5Z06F+/UuwiEJHecNctgpfZYKC97egcNLis7Oj28ur2L46cXEAxJ/v1hMydOL2BBRUzJ1U/7bm5zc1BlDuta+jlqSj52mzDU70bXILNKYspfhB+cWBOtIxHr+VVLjf5wbl/QYJFs6/cxrSjm66bvsM3uEDe9uD1uerqxJ7a/vg68Wms9Pbi7xxvtiJ/a0E5DzyAD/lDUOg4kfe/0bgrdHj9XLd1MSMKPPzuVE2cUsrqpD39QsnRDO+cvKI3uq1/cIRiSvLfbxS3LY0rQNU9v4VtHVXNe+Bj9+/t2vYutT27mrgvnke2009Dj5ZqntuAPyagVEuDixWXc8+EePmrsIzPNhscfYlZJJv933lwAerzWlvtG1yArdrbQOeAnK83GQZW5vLvbFafYnTu/hILMNO5b3Rw2cMRksba5n4fWaDESkXfZzJyybLz+oEFBfq22m4sWlTO9OJMdnUYXn4+ajBbt12u7WFwZPzAbCXt6B/mosdcwA6RnuBlD3q138cDHLdEUiwCvWMRvdA74E85OlUQUZF/QMGj8w1u7Tfs5yXIO7ZGpN2BYWfF/obOiRq5mjg/YW/oGA/gCIX67IpbX+a/vNEYVZP9erFIbyRwSme2NzDCvMy313O72UZiZFjfwNi8VXVOYQXu/L27Ap++v9S48g4FQQiPeYCDEyl3dSAk5Tnu0Xfr+S7UUZcVUO28gaGml15ObbufQ6jzLjBpmF6Rd3V5e3mrsB0uz06jMTR9aQbZQhs1uFydMjxlGfL79n/0oGeNGQRZCnA78Gc0Af7eU8tem39OB+4FDgE7gEillXfi3/wW+AQSBG6SUy8znN+dB3tI+YGn9rcpLN1hyEpFMOYZYhTenzIlQ1+Xh2KkF0WwRVngDIRpdXm4PR7kmIqID6ad39FZLfWe7S2epiDTQ5sYQNOV4QXlONDPDUESsw50DftY193PctAKDtchqeitZSqROt59uT4ABf4gPGnp5Yl0bpTnOITuPAX+QNIuATL37zMpdn3D90dUcU1OQMHPEne81cda8EtLstqTPwOUNcMlD6/n7eXPjRvnNYRmY/dTfqO2mIi+5NeaFzR209Pss/dODIRnv+y6sn3HEzeDhNS2s2dPHzOKYIhjJEhDhtbBCV9vp4Ydhq75VRo5NrW6WTMpFSsndH+yx9OHsGwwarCkhqQVgLtvWSW2nB7cvyPLtnTx7xUHRfcwK8n2rm3l+cwenzS7ie8fXGJShJtcg3QPxHUdJljMaOJvItah/MGBQkHf3eMlIs0VdhPTWFvPKjlb1ZdMIF2MxZzNZa5Fv9Xcr6rn2yGp8wRBnzi0x/Ka/r0seii1K9Pi6Vk6cUWgYsDytS6W2XtepSzAoxxH+/m4j5y0oRUoZbzka8PPgx81888hqdnV7ovVNX+9fq+1mfTjjRWx1TA+BkHa+RPnGX9jcEU0/NaskyxA0pSfLaWdGuA53DMbvow9WBbj99Bk8vKYlOp1clu00KCARrnl6C/9z7GTDLBfEv7s1hRl7FUx7wcJSnt/UgT8k8QUl/04S3GyO/k+GXjmGWNCunle2dTGr2DrYqTRb6+sG/CGD0mY2yJRmp5GdljwbBRgHy1YWZDOXPbIhamQ4tDo3Ov2/N/T7guzoSuxLG1Fej5ySR36Gg7PmlfDtZ+PzKeuRwAX3r+M3Z85kTml2wv3aw64joBkrglLTAcyLZRRmOhjwBaPPuiDDEed2pLcg+4KSbKfd0j3mSotA0Aj6mRhPeEYnEecvLOWqwyexpqnPUkE2u9WsaeojKDVdKWJMqMpLj2aVSaaMW7lqRfTjggwHt58+gykFscwVFRUVY+piMS6C9IQQduD/gDOA+cAXhRDzTbt9A+iWUs4E/gj8JnzsfOBSYAFwOvD38PkM9Az4uOv9pmhOxkRBJ1V56ZTlJE8fNBweW9vK9c9sTRiQ8/zmDn77Zh0fN/VR2+kx+JhF+Kixd1hLRru8fpr7Bg3TQ4k67eGG2lTmphumkIbCYRM09w1y5ZOb+dUbdfznwz2fasntDrefXbrG7u4P9/CrN+p4dXuXwXpppsk1OCxLwd/eaaR2iHRa2zoG8PiD/F5nkbCi2xPg+c1ax+S0C+69eD42oXUyu7u9UUX5nPmaotPl8RtS76RZ1MWecCDdSovsAr3eQFwjNOALWS6M0TXg59G1Ldy7upm1zf08t2nkuWPNRHJs7uzy8MT6tqhiradvMGA5q7C2uT+qYJgtz/pgndqOAZaFB47LtnWxu9trUE6begctFfPi7DScYSXHH5SWwW6b2tyGJVt/+XpdNPi1a8BvGIRtCyvIS6py+NZR1XHnApIu5WpFl8k6bKXI9w0G+e2Kev60qoGt7W6eWNfKgx9rVtNEAXy1nR7Ovndtwnq9U+f7msxn9sbntnLt01ss/bQjCkhk8GNWKD9u6iVk0Qme+e9PDKkIzUSUY6dd8K2jqhMqyNlh31yA3cNwbzi4KpeS7Fh7Xp6TRpaFqxVoWRkihoUjJucB8T6vHn/IoCAPFbt4aHUuT1y+iGuOrOaZKxZz1BTN7ShZUNTekJckldqr27v4h8UsJhB9Nm5fME5R0/dJVXnpls/toMoc7jx/Dhcv1mbbIqlJezx+GnqGlo9e8bv1lOk899WDmFWyd5kLWvp80UBEKyLt40WLy/ne8TXMKc3m+ydMMezz4KUL4o4b8If43YrdcQtz6fnz27uj70tV2Pjh9gfjjHCFmWkGN4OK3HhjnL5t9wVDI0rVaZX60BsIJfX9L85Mw2ETZCR45yJKcGFYH4i0ibN1cirMdBjyTCciWRYLmw1mlmTh1PXvY50HebxYkA8HaqWUOwGEEI8C5wKbdPucC9wa/vwk8DehOcudCzwqpRwEdgkhasPne1d/gQ5PiCe2ataF+0qzEmZhqMxzRkfVn4ZIGplIZcpLtxuC6Lo9AV6t7eaTsDXp0OpcFpTnsHZPH0VZaTy9sZ23dvVEc1AePjmPgypzGPCHDGmRQAvwsJqGtyKZ0moTsQ4hJ93OyTOLWN/cz4ziTF5PkswctA79vXpXtPN4dlP7kMGBc0uzDBHOejoG/AnzHB9dk0+722eZm3Vru9swjaO/JzPv79YUoTSbsLS+rmvupzAzjQF/iKw0m8HC8plJuYYUQCvCz78kO42qvHQKMhx0eQLRUX5eup3PTMrluU0ddA74DXXstlOn878JplutcA0G4mYmvIEQ3kB8nTa7ClndZ1FWvO+nFafPLuaVbZ2xhRqS1ImQjPnW66fg9ZgHohG/fYctPtjxMdPiK02uQcvArYIMB2lhX2VfMGRZ33+3In7GJCS1JWfNRJ5zSbaTM+cU0zXgZ3pRJgsrsvnzqgbeb+hl0zCDXZKR4bBx4aKyOIsgaL7GkRmrDIct6Xs1GAixchhtgVVdiRDJ9vCKhdtVrzfIx029UUvtyTOLDO5ZOy0C0CIs3xbLNGFlOctx2rn34vnkZTjITGCtzHLaDb7oyfjOsZNx2IThXavIS6dV9+5cuKiMKw+v4utPbGZP72DUhWpRZQ4fNPTGKTi9g4HogPb202dwUGUOn//P2oRlsAsRVTTT7DZOnlVkmZHj0zKlICNp0FXkPo6dWmCYEYs8G6uZkWuOnBTN4XvBwjLL2busNDszirOisyIef5BXt3cZ3ByGQ2WuE2dYriVZTrYz8gGEeUbMTMR6qTdIOHV1aXZJVkK/f5c3EJcaTs+eXl80o1F1fgaNrkE8/pAhRgU0RVLfJukHHVMLM6jr9vLJntiA2xcMWbqwWZHhsHHGnOK4NsQbCNHvS9xmRPJUm8saIRKTMbUwg25PrGwVuqD8dIdtyLzkkDyLhTnTEKg0bxEmAfooscbwNst9pJQBwAUUD/NYA1/62T956vkXLX/LsYfwuxKnGcu0qERfXlTI0dXx/pB6yrOsG/zIdFqpM8iiLDc3HVtFyBtvkZqaHeLwfC8V2fHnGWrVvKMm53Bwqfbi93oD1NfXW05bXHNQXvSzQwYps3v4yWFZfH52Qdy+Zra2Dxh8rYeTOeNHh+Vy61F5lr+19Aywvc3aMlfmGCQ3LfYyHT0ll3+dXEi6XUSVY4cNzpiSxiVzEk+LvRT2ozq2JpZV4qyZOVy1SDvm3Z3t1O3RFLOSDEFE9CdNSednn5vMpJyYLCJ+dE4Ror6+3pCUHuDwcgc5tmD03lweTXm8fGEB+WJoS8tlc7OiVqLa3c209sU31lZTx8OhOmfoqVOAz03LRQDrW/rY1tTOG6aVzHKcNm44OIeSTO18m8KW1cos62bG4wvg9XpZ+kEtr6zZiccfQgBT8uIb2oiFMcuhyb3J5WV7oyabKbmx8jc27Cbg055NT18/ba6Rp6+ryXdywyH5hm3ZIoC7z8VJZX4Or0zH293GnFztvUuU1mhWoYNphUZXmoNLY/d2ZGVsKrEyx8Hpk+18aW58O6J353pzextui3SAlbmx81q9ecfr6jhAY0u75cyFHiuFq6Pfy49e3hGzKjkCnFCdzvSiDLLTkp8v4k88uziDs6fFFJGrF2Vz4rR8fnRoDh5XJ729vQy6rV2pAp5+fJ6hLfY3HZLLCVOyaGxsZEbmIBU5aZxak8Gs7AAiGJOXGOxnT1MTZ83W5B1RXpyDvQbL89GTNb/jDS1u1oQVmHQRYk9jA1cujm/DDilLY3J+OocVh2htbaW3t5f6+noWFdujMxxWzC5OvDBCZbbdsv8BKBumHnHazDxuPzZWt3193QnrQXUWnFDi44LZmlzcPfF9hvR76O/vxzegGQv6vf4RK8c/PbGaby3OpqGhAa/XS1rQWhHNSPLcknHvB43c8uJG3F6tfWxva6G3t5fW1lZ6OmNtmAgF6O3t5baj87np6ApmFcbk7/EF2N6k7XtUpZNz5hRiJuIeUmAbjGa46Df5D6fLWFYchwARiNVFq3a41xsYcgGUCLlOGwW2+LbIPeins9/4TKt1KftyhJ/6+nqk37odi8QuTMox9mlpvpiBqFB4yU0bus/f3dDEnj17cLvd1NfX09PTQ3uH9lwFUF9fT3NzM/39/dTX1ydMzztajBcFeVRZcOxpHPe5Uy1/m1GWz+xpUyx/A7j04HLOX1DKdbrp1qNnlvGDz81Mes2pJckDOw6aUkpNTQ3p6enI9HilbnZVCTU1NRTnJF9ZJjI1GOGMOcX87LRZ3H625rHS5wsyecoUMnLjld75UytjnyvzKSnRrlmeH99pzy/LZn6ZtfL5zSOM45Mbjpkct8+J0wuoqqriyPnT434DaHYHaRsI4rAJQ6ARwJGzJ1GQFVM88jKcTJ06leOnxxqtSw+q4II5uRw8vZJEREauX/pMFVceXsWskkzOXDiJ0w6ajk3A9u4AoXTteRbmZPLnc+Zw/sJSbvzcXNLT0/nFGbO5fEmFwRJamJ2hyck0C3H5kTOYVKydqy8g8IQjkCuK8phSURxXtiOnGOV4/PwpLIoEtGUV0OaObzjaLbYlQt/VzK3It9xnamGGIZXR/Kp8PjujkEAIbl3RStuAMXWePyg569BZFGRp9x6QmnX6V2fNZW5prA5F6qg3AF5p5671ffx1jaYQ5aTbqS6M7Tu/LJsTdNksqgsyyXbaGQxK+m3afsfNLOXWU6Zx8+F51NTUkJ+j1cuNnQHaPMkHj3ecNcvgJpDhsPHnc+dy1JzJ0enzgypzOGvxJAoLC6mpqSErK4vq6moWT0tct46YnMdvz57PP78wn5qwT11RloM5VbFUZNcePz2aqeSU2SWUlZVxxGytXSnKdPCdY+Pfm23dgbh8zwBf/kwVlxxkTPmWrruvk2Yb3yEy85KmvUpEr8kSVVmcz82nz+cfF8xjnkVWEYD/XDTPYJ367vFTmTMlli7vC4fP4scnTefw+dMpLy8nLy+PipIiq1NRVVpIaWGsvibS8U86aEZUTp9bPJ37L13ITafMo7y0hLL8WDlnVJVSXV3N+YurqCmMta3zp00yZHKZXBTf1hXmaO/6xYfP4F9fmMtVh1dFfztj0STuuWg+5xw6K3pPNTU1FOTlxqUvTLMLJuWlc8K0Ag6ptn4XAY6fWcKzXz3I8reZZdbHmd3RqgqyWTxzavT7lKpywzt8jC7zzMwKrb7n5eVRXl5OdWV8SsGywjxycnKoDMvr9Z1DW8f1MrtoURnHzCzliHlTmTx5MhkZGeTn5VoeVzKM2CCActN+D69r571mH419Wvs4ZVJV9J4m6e4pNyudvLw8jpw/nVPnV1KUExt1+EIQcGjfp5QWUJEf++1v584xXG9RTTk54aWrzbarSB8AkJfpoDgvVhfnVsbL0BvuJ0qz0/jiwdYpHc+dX8KRU/L48eemsXhq/D6DQegzvbcXLConx2nn4sVlHDe7gpqaGgrzrPvz7rA71cwyo1wWTK3kb+fO4bIlFXzlmNlU5Cc2RkWoqKykqqqK7Oxs7X0oKKCoSOv/7DZBTU0NlZWV5OTkUFNTg98/shzl+5rxoiA3AfreoDq8zXIfIYQDyEcL1hvOseRn2DklnCdzV7cnzj/y95+fyf87aVp0iuXseSXMKc3CPGityHVy7VHVHK+LtCzNdib0mYsWaoi0WdN1QRRW0zyR6YyDq3I5uCqHWSWZFOl8hNNsgquPmMSNuk71ByfURBtth02QlWYjJOHmV3YYgnei18hx8qezZ3PhojLOWxjrUK18kR02wbVHTbL0fZtXls2PPzs1/DmLs+aVGFLAfe/4KfzPsdogxGpaBdCSngOzSjK58vAq/nT2bAoyHKTbBTOLs8jTWWizw9HV1x9dzbFT8zl7XgmXLamgpKSEJVW5/OSkqZbXAK0Dqc7P4OLF5fzfeXOZWaKde2F5DkEJr+/oCl/DzqySLK49sjra2U/Kz+Arh1TGfrYKQAAAIABJREFUFFcg2+mIe2ZPf2Vx1O0i4pscCZzMTXfgtNt49EsLDXXopydPp1RnwcrLcJAfPuf7DVo2ier8dC49qDyqCI0keEjf+eelW3tanTqriKOnxuq5027j64dVUZTpoCPs3rCoIpvpRZpikR2uC/plWz8/t4TirDT+fM7s6LbSbCdpds2tpb7bS0jGXD+y0uwGv7wpBRl8/4Sa6HeXNxD1hYu4NpRmp3F0TQGHzqgIl1N7HoNBya/esLZm3XbqdG4/fQaLKnL46iExRfeUWUVkOe0UZ6Xx6zNmctcX5vK7z88yBI5EWFiRzdVHWE9W3Xjs5KjiEamrlbnpfH5uMVV56dxwzGQqc9P59RkzueOsWVwYzmc8ryybP5w1i39cMJdJ+cZrzilNPEtVnJXGJFPg55eWVFCe4+SSxWUcYRpwRTIMVOWl8wPd8x0p+rpTY/GMAMpz0w0D98o8p6GNE1ZTqwlcLPQ+yKD5yUZ8VmcWZ4aj8XOTLmxy4oxCPjujkC8eXB6t33ab4FLdAKM02/g8qyyCavVBa1MLMzliSkzBSfROgfH9AG1Q9p+L53PzSdP44pIKphdZm4OLksSEmFN3gtanPW9SqCvz0g0+ngLjjIN+5s/8DIVFBEtW+Bkkkpee3505k68eUsnLXz+YZ69YzC0nT+Prh1XF7ZfI59Y8sNCjf6ZTC5MbkRy6IG699dzsumPu0yPrFRRkpkVTKgJMKcxgYXlMOZxamJEwfqcg0xE1GN10fI3huSUrd064TbJidmkWt506gwUVOUzKS4/qLBHXng63ZrXOdtq546xZ3Py5qZw1r4SlX17ElYdPir5/iVwsIpRkpxmeSUVuOrNLs7jikEocNmHInJEIqyC9qA+yxStbUlISv3EUGS8+yB8Cs4QQ09CU20uBL5n2eQ64As23+ELgdSmlFEI8BzwshPgDUAXMAj4wX6AwXfD9w2pY39JPS58vLt+hfvEGgG+HK/F5962NujCk2wWHTNIa+oIMB3NKsxBoL6cQguuPrmZTq9vSX9fceem352c4DC//eQtKsQFHTMnnG09qPqwRpcFhE/z2zFnRfU+9ew0AXzy4nAsXaYESfzp7NplpNkPqKtBemAG/j9VNfXELKxw3rYC8DAfzMxzMLzeOBJ12G7npdsNUz+LKHOaUZvPE5Ys47Z5PDPuX5ziZX57N5IJ0CsL3pW/ATpsdbzE1E3mR5pdlk2a3Mb88m7sunEconFZKr5hH/Lgy0+zccnJMEXe5XGRnZ3P8tEKgzvI6k/PTLTvTE6YXsK6ln1V1mkUkJ0FgD2i+a5FAtYhrhb4hiChKdpugIFPz9434y0X8v4qy0shNt0f9zew2QW56LHo5P8NBfrjTjSSVP2RSHl8/rIqOAX/cSmJDMSkvPZpeMMtp5+CqHD7Z009pdlr0mmW5zrgUTGU5Tv563hwue2QjAIdPzuczk3L5y9sNXB5eREOvHCwMWxX1SpDdJsh12unyBAyLHESeh9637YgpeTgdNk2hDmqLaSyuyKHRNRgNdIoMPiPydg7R0AMcqVNm9O+eflr94CprS1YEmxBcuKiMo2vyeeDjZkOwYo7uGeRnaDKuzHVSkZvOvRfH4o+tUoYtDA+49H1JeY6TH392Kjc8t83SL7E4K80QnJoWVvi+eHDMUpvhsEXdHCJyLcpyJFTIAEqy0qKDoYgM9ORlxN4Lfc5lPQ6b4NhpBazY1UNRluZfPLUwk+8eN4VKiyClSFmtyHLGK8g/PXk6r2zt5LwFpaTZhcGv1PKesp3872enxm0/YXohS8O+1QUZDkObXWzR+Zvzqk/WDToTBQKCNijWo1cIMxw2/nLubB5f22pYMRJiCs+tp2i5jz9q7Iu2I/pZkHSHjZ+dMi2uTzt2akHcYldZTrvBJ/bkWYV82NhrmLVJdL/a8dqzHspABHBQVS4Hhd+pzDQ7x061dt07pDqXF7bEBxPn6+rat4+uJifdQWWuk25PgEn56dz8yg6uOKTSMt2lHv2z0rcVZmu72UswojMUZjrIccZkmG4XnDq7OOqSVF2QQWm2M07HACjKTOPwyfmcMquIdIfNkJ99ZoL3B+DMuSUJg9OrdO1lmt3GpPwMdvd4KQr7O0duozDTYTDmmAemQynIuekOQ7tjttQnCtIrynTg9gUZDErDM93Z6aEkOy2pD7LLte/99UfCuFCQpZQBIcT1wDK0NG//llJuFELcBnwkpXwOuAd4IByE14WmRBPe73G0gL4AcJ2UMs6UFlmCcUZRJi19PkMewwsWlpp3j3LctAKWbeviM5Ny+enJ06IjPiFE1CoWqWjnzC/l7Hkl1gpyAgvyXRfOi7NSO+22qEXpysOq8AVDBoupnquPmER9t8cwvWpWcCNYzajOL8vm+OkFnD0v+UitMDMtqiB/7dBKvhDOESyEYElVbnRlOYDCcGei7zDnlmUzrywraWdsxXzdtK0+qlrfyVg13MCwpmcSTTOfNruYx9a1RoO0El1DK2PseZ+zQHuOiYJAizLT6BoIRJXQZIq3vsFw2ETUghxpZBZVate9/qhqajsGkgaRmKnKT4967mc77fz81Bl0Dvi5f3VztP6WZTu5+KByVtW5uGhRLCd0abaTu78wj7fqejh1dhFOu41fnxFzMcrRDV6m6Kwi1fmaUn745DzW7OmzVpCd9qiFGIha5e74/CxuXraDbx4xKS5YKGJpjch7KN9as8uP3toznEATM1V56VxxSGVUQU6zCYN7Q+TdrcgdeqEFPYWZDk6bXcSaPX2cO7+Eyrx0/n3RPARwwQPrDfsWZxsV5NIcZ1wHePeF8/jBS9vZ0+uL+hAXZ6UxvTiT339+JtlOO9c+reUVv3xJBWl2wfHTCghKrT7/adXuuCA8/WDoMJ2VeFZJpiEX8VFT8jl+WgELdO/K6XMSD5QTKVx5GQ6DpS8/w0FZjpOvHJLY3WW4OGyCv547B5vQ2rUqXZttVmqBuIGYEIKfnzqdnV2ehGnVID7jhDkTiNNu45z5pazc1cPpc4qjGSgc4f2Oring6JoCrnkqluZLX7ee+cpiw6D/pydPY/m2Lm44JuYW+JOTprKjw2NwfcpKs3Hi9EKq8zMsZwNmlWRy8eIyphVl8ps3tZmZSEIVvbymFWZEV0udWZxJWY7TMCAdiqNr8vnlaTNocHl5akNbtA3Wv5u56Q5OnGH0A34gnIHikz3JU8Xp2weDBdkkT3OKzR3hAXlhptGSKoTgxBmFPLupnaq8dDIcNkoTZMKKDMYj19IrnEVZadx5/pzoOxjhgoWlnLug1DIo+sZjJxtyyYM267a7x6v1F7pDks1qANHgZoDLllRQluM0LEedm67Nwr9e28Wtp0yPMywlGpg+8qWF3PDcNra2D0SzWOzq8nDN01soynLwm3DfYdVqj7WLxbhQkAGklC8BL5m23aL77AUuSnDsL4FfJjt/JA/y7NIs3q53RaPqrzuqOpp+y4prj6xmTmk2x00riJtGshrxCCGYnJ8eF7iTqHM0j+jNXHyQtd9RhAt1istQ6NPHvPT1g/mosZcF5dmWjb+ZwkwHu3u0aZBLDyo3dL63nDyNFzZ3RJfRtnouDpvgz+fMidsOML0ow9DxRhYYABL6OestV4mU14qKmPUskoEhwuVLKnhwTYvBb1CP02FjSVVudIGQZArynNJsfnBCDdOLMplaqHWMFx9UzvsNvXHyqchNN6R4Mk+3JkNv3QRYFB48ZDnt3HjMZL5jsRxpIvTWsWynjXSHjaq8dEN5ynKcFGWl8fhlC+OUrSmFGVxWWIEV+ixk+mnhO86aRV2XlyWTcqOZWHaZFK5sp50jpuRz1twSDp2cG30/5pZls/TLi4FYRwVaXYlcIyLvZBbEJy5fFJdSsfBTKshgVKDS7MLwvE6YVsi29oGEFrNECCH43vFG94fIdfRZVf73szVkO+0GC85nLKzfZTlOLllczh9XNUQHu5HlwBdX5kaNCKDJ4QumuuuwyC+uf5b6z0uqcrlgYVl0QOx02PjJSdOGcdcaCRXkdLuhzRxO2zUS9J2+/h1JNpDVc8SUfIOrhRXmMv/os1Pj9snLcPCvL8wDiCrIM0zGBX07O6Ugg1+eNoOKXGec4nLM1ILo8s8Rjp9WGJ5ZixFZRdFqAR7Q6uOVh2suRREFOWII0PeNkwtiCnJBpoNbTSusDoUQgsMm53HY5DwuWFjGC5s7yMuw06+bwUyUkmyo3yA20ABjWxGnICcINC/MclBTkMFZ80qibhEZDht3nj83uk+iTFj5JtcLsyHFahYmMlixsiB/fm687jK1MINVdZr7S7o9lhGoKm/42blqCjIMLn6gvQPfOW7K/2fvzcMjucp7/8+rllrSaBtJI0uz23jGHsbGYPAGg4PxGDwmCTbDEkMgTjImyx3/QsIlCYYbIOxws5DL5d4kFxycsIUkN4kDvhhiY0iIxxl7zOIVD8aaGdvaNS1pRmvr/P7oak2pVd3qllpV3fW+n+fpR6qq01Xn2++p02+fes97OHDppqJSumURERJeW806yIe8Uf6R03NnRpADfKGo8yBXjIO81mR/iWQem55ZwWxj69KRFj/rkgl+bpnR1Vz+6Gd38i+PDXFWc3JhEQ7/ZKc3vuAs/u5HA4GTcMJgS1s9tTVS0q/67A3RUFuz5PNqSibYf2EXR4dO86LNhR9LB/HJ1+zkR30T/KG3tOhZTUl6T07R3ZxcFOvlx/9reF2e+Le+vj62b884GO94+VbeeNFZfP3xIWpEeOuLe3jNrk42FEjp5+/kmpdxZK/ZuXhS0Qt6mvn7t75giQO85+y2RWmWCn3B53bPL/I9Mu1cV0e7r5O6oKeZd1+1nT/99+OBKdVy8Tvbfuff73xkR1YL3R9B+POF+t/b3lhH++bFITc/zlmIoymZcYB+q8C94R/x3dxav3CNrL2TtWeumbv4QNAPkvV5QixKYV1dDbU1wty8W5JV5uLNLfwv35dnOfjkz+7kb3/Qz69fvnkhntfvoL5oc/CEuVzn4YU+R9pvq9xRTWDRyohZcn84furnz+MfHh7gTRd1533qVQwNtcH3W90ycaLlZGNL/UKMrv/+b6it4feuWnnctr8N3v6m3YHxw36+cOMFDJ2aXRKTnjsQcenW4IxAy5H9sXVhnkmWhciGN/ntsNIfmfnIfv8+5svtXygX/nJpAP1tKDc0xU+ug5ilvbEOEQmcfJ7lrID35v64g8yiON/56cmCAyXZMKzcEIh8vXL2Kc3m1npetmcrx05Osb29YSE8tFg6fBpqJBM2lok1Xt6+Lz+7jSeHJnnNrsxToqzurIM86Eu1uBCDHHAey4McEolEpgGet2HdotGXYlYHKpX2dXX80ks2Mjfv+GHfBM9rb1j05fPq8zp4y8U9BUcl14IPvvp5fO7ws/zB1cWP5GTJjrLlm4xRl6jhvSWMEPlpbahlz9nr+fJbLiQh8PF7e+k9OZU3VAQWf8k05VkCtanpzPsTNcLW9Q38xhVnHjMWco5hcQe5ElsFOQgv2962aGKMv1POnZySu+0/X5DDfvWOTI7V7xSRB9cfd+vX5nfu8k2gXI6Xbm/j/uNjvGhT/i/c3Ppnc4AW8zn7O+itvkfBWXv7v4Tee/U5TM/Nc+OXMivOBWnyp+Rbrk3kQ0T4xGt28Pt3HuXKgPjNcnPehnX8Qc79ViPCpVtaeXZsmsu2Bv/49TuedQlZFJMI8JtXbObep0bZu2NpFomghV9yRyt3dzexu3tl/YCfIMc36GHbWjrIydoa9p3fycmpOdY31PKBV53Dvz45wrt+ZnvBGOPlWNx3LX+es5qTgRO3/8tLt/Bfv/bjRX3aSvjjn9vJN54Y5qYSwlT+z+t3cfjEOK/25pP4vxfaffHapSxysRz+SWyFwqiWG0HOlwe5PudH4YFLNzE775ibdwvrEdRIcU/9glbjDZpkeMOFXdTX1iyZRJvl49edu/DDyP9dcUF3E7+ZZ+GiF29u4S9fv4stbQ3LPqHOR01NZgGRLDs61xV1rt99xTb+4UeD/JeXblnUl2Y/5uzcHP9CTa7ACHJTU5ONIIdJoka4aGMzh7xFIlbT0S1HbY0smiF+6yu380xqmu3t0SS/vmJbW0mjxn46vJtlLb+QsiMPm1rrOfLM+JIvbz+tRcQgZ38UrRT/DV6uHzONdQkOvmwL//M/Tiya1ANLR4yf19nIUyOTi6596yu386l/P5539KLYpPJ+p3Cxg1z6Mrq5XHteJ93NSXblCY+BM6szZfnNl27htsPP8spzl+YXzcUfEuFPh5e1t/+JQlMyQVMywYevfV7eH3eJGuHApZuYnptflZ1f0NPMl958Qdkf+5fCR/ady7xzeX/c+J2H53c1LRk1e92FZ/G6C4PDtl64sYX7jqW4eFMzP/f8rsDVP8tFkJMTNGq43MSi1fI7V55J+ZmN/V0t/gmcq+lPd3c3cccvv3DJqHqpnNu5joMvK5zHP5ft7Y2Lvsf8zmWbT98KMgnmxX//FvrcCo0uw+IfWoVGkNvX1XHrK8/mnqMjCw7y+sbaogYOgkaf2wMmeiYTNVx/QfAcqMa6Gl7sG/Wt9z0Z+/C15+btq0RkIdSvVH7x4h4OHx/j8q1ti2Lst60vbv7Eq3Z28qqdS+cWZH9IZxcK8S/hnm0jQZ/qar/DV4saBzmdPvPF//Kz1y84yGGO4r7y3ODcntVA9uZe6y8kyNyk53Y2sq9AtouWBv+XTLANx8bGaG9f3uHKh3+iRTnbyWt3d7HrrCZacs65ubWeoVOzC53/b1y+mZZkYuExFWTaUKF2lOt4+knImQl+/jAFf3zlm1/Yw/eeTuXNuVkMiRrhJVsKP857yeZWHhs4TXdzknf9zDZeuKmFT18fHKOey/oG32Ibvh98WXu3NtTy0X3nLnLg8o2oZsnNIbxS1hdIRRUWhb7A/QtNbF8mHVYuv/3yrZz/xDqu29VZMOVWOcjWc9HTlgBHsGENngCuNX5HbLXO7WrfXy78T0gbinRkV8K7L21lur4tb8YUWP47Kl8oUT7H2v/EalORE22DwhCKvWdu8QZQDuaMEDcsajcrGxlejptesjHwScJ5XcvnOC7EmRjkzPbAqaUhFkHZpMbGghcMCgs1DnJ2kh4s/lItZZKUZrLxuGGMjnWuqwucfODH/7gnX8xZV1f+7CTF0LUGI8hZzguYCPNff2Ybn/3PZxfysbY21OZ9jJaPC7qbOJGaXpKWD+AlW1p55bnt7OxcR0NtTSbe1i3ueJ/X2cg//dJFRaVKWw1vvOgstq6vZ8/Z65dNy5XLjg2NvO6CLnZsaFz048hv70uWcdC14h+ZDcrtXIj2dXW85eLgiZnlpqW+lu3tDbQ31i4svRvkwHQWyA1cqVSIT7tmNNbV8N+uPtubBF1wUduSuWLnRtatKzzaXcogTqFJelk6cuZ6FEONCH+w9xw+dPdPF/bly42cy2t3d3H1ue2LnjRATuz0CkMnSuW9V5/NkWfG+dldy6dmLUQiJwY5m7O/LiEFR5C7urosxCIM/EsWtnrxZNNz80UlODcyj49/6SUbeckKJuGtFb+1ZysDEzN058mlOjIysmxnWgj/xMraFcbjlkJPS31JM/2DePtlm9m+voELepp5xx0/XnTMORbFlt7+pt04lk7CW2vnGDKj/it9olIjEvjDYbX21kCjLwZ5a5GPTaMgUSP8+et2USMs5Fn3Oz6/94rtfPuJviWTY6uBtR59j4rrzu/kR30TXLyphframkUrm5aLYu7xUhxk/6hlIk8f7590eGGBeTG5XHnOem574/P53/c9w+ETY4tCw5Yj1zmGxYNCpU6cXimveF47ryiDHWt9IRb+bDnNycTCdtCTr5GR0vL7lxs1DnIu5Ygl00SiRhYWgqgUlssu4lY5Q0REeP2FXTw1Mlny4+ioaG2o5Q0XdTPkmwSRxeVEOVfK49lysVp7a2A1I8hhk/vI1T/Cd83ODs5vOFWVbfjC7iZ+8eIedhTIlVyN/M6V23DOranzVsw9vtI2kW9Q1j9Q8vwC8yqC2NLWwNb19Rw+AZtbV3e/tTfW8uqdHWsa+79WZO/luXm3KC593p0J+wv6/KPu06vvk14htbVqpBoeqw2xAPj1Vc4Qj4qgeK71VdixlkI57B131q1hOq61JvdHarXaW0RKyhhRTaz1yGYxNl9pFfLVXUT4zA3nM5t2K0pd+NaLe3jRphYuXWXYl4jwrlUsCx8l2ZDp9LxbmKgHmfjjQiPIXV1dDA4OhlLHIOL9jekj6hVZjPDp7+9fyIOsjfbGOvZf2EXnujrO6WjkHx8eXEjyH1c027tY6hI13PbG51NbI6E9pl0tn77+PL722NCSeFaztz7W0uaFwnrzLZ5SDM31tSvOHhUX/DHI6Xm/g+zLYhHw+ff394dRvbyocZCjThdihE9zc+mJ7+OEPz+qhklr2u1dLFvaKju0Ipfzu5o4P2AWvdlbH8XYfKU/+1aa991YnjNp3sgJsXBnFgoJ+Pybm5sjnaRXfQFchmEYhmEYAVy8qWVhKehiyKa5PL/LJviuFbV5RpDTvpjkkBJzlISaEWR/HmRDBxMTE3R2ri49jVE9mL11YfbWRzE2T9bW8Jev34WI8LXHhpY959/ceAFjU3OBqxUa5SGbISQzSW9xiEV28njQCPLExEQ4FcyDmhFkfx5kQwfd3eVZ/MGoDszeujB766NYm2fj69/wgrNorKthd4HsE03JBBtbKzflYRzwr6SXzgmxyC4eEjSCHPU9rsZB9udBNnQQ5exXI3zM3rowe+ujVJv/2uWb+Ye3XcTmNnOAo6TwJL38I8hR3+NqHGRDH9UyS98oD2ZvXZi99bESm9fWCBdvyixw1VGFKy/GAX+at/mc3MZZhznItFHf42pai+VB1kdHR/WtsmWsHLO3Lsze+lipzffuaKexroZdJS70YZSHWl8Wi2xIRZbZ+fwjyB0dHQwMDKx5/fKhZgTZ8iDrI+rHM0a4mL11YfbWx0ptLiLsOXt91S2OExf8K+ml84wgB8UgR32Pq3GQLQ+yPlpb45/71ziD2VsXZm99mM2rE38Mcm6IxWwBBzlqe0fuIItIh4h8S0Se9P625yl3k1fmSRG5ybf/IyJyXESizQdiVByW2k8XZm9dmL31YTavTrJp3nIn6WX3QXC8cdT2jtxBBt4N3O2c2wnc7W0vQkQ6gPcDlwOXAe/3OdL/4u0rSNQftBE+p06diroKRoiYvXVh9taH2bw6yZfmDWDW25EIGEGO2t6V4CBfD9zu/X87cENAmWuBbznnRpxzo8C3gH0AzrlDzrnnlruI5UHWR09PT9RVMELE7K0Ls7c+zObViX8lvfmcEeS5AiPIUdu7ElI7dPsc3D4gKDP0ZuC4b/uEt69oBgYGePvb305tbS3pdJr9+/dz8OBB+vr6aGpqIpFIMDY2RldXFyMjIzjn6Orqor+/f2H994mJCbq7uxkcHERE6OjoYHBwkNbWVtLpNKdOnaKnp4e+vj7q6upoa2tjaGiItrY2ZmZmmJycXDieTCZpaWlheHiY9vZ2JicnmZqaWjje0NBAY2Mjo6OjdHZ2Mj4+zszMzMLxxsZGkskkqVSKDRs2kEqlmJ2dXThumrp58sknaW9vj5WmONqpXJomJiZIJpOx0hRHO5VL08zMDE1NTbHSFEc7lVPT1NQUdXV1sdIURzvlajo5MgzAybFx+gcXp7E4OTae+Wd+nt7e3kWapqenS3Hzyo64nIDpNbmIyL8CQT8F3gvc7pxb7ys76pxbFIcsIu8CGpxzH/a2/wCYdM79ka/MhHOuOV8dvvOd77iLLrpolUqMauLZZ59l06ZNUVfDCAmzty7M3vowm1cn3/zxMH/03WO8bHsb+y/s4l1fP7pw7Bcv7uGLD/Vx3fmd/M6V2xa979lnn6Wvr+/BvXv3XhJ2nSGkEWTn3DX5jolIv4hsdM49JyIbgaCkd88AV/m2twD3llIHy2Khj7a2tqirYISI2VsXZm99mM2rk2wM8n/0ppZM0pvzEiMHZbFoa2ujr69vzeuXj0qIQb4DyGaluAn454AydwGvFpF2b3Leq719RWNLTetjaGgo6ioYIWL21oXZWx9m8+ok4Ysvvv/42KJjswVikKO2dyU4yB8HXiUiTwLXeNuIyCUi8lkA59wI8CHgsPf6oLcPEfmkiJwA1onICRH5QNBFbARZHzbaoAuzty7M3vowm1cntUHDwx7ZSXpBWSyitnfkk/Scc8PA3oD9DwA3+7ZvA24LKPd7wO8VcZ3VVdSoOmZmZqKughEiZm9dmL31YTavThJFOMhBI8hR27sSRpBDYX5+fvlCRqyYnJyMugpGiJi9dWH21ofZvDpJFPA059L5V9KL2t5qHGTLg6yPqHMoGuFi9taF2VsfZvPqJBEwOpxlbmGp6crLg6zGQZ6dnY26CkbIRDn71Qgfs7cuzN76MJtXJ3Pz+UNczzjIS49FbW81DnJNjRqphkcymYy6CkaImL11YfbWh9m8OhmdzJ9FrFAWi6jtrcZrNAdZHy0tLVFXwQgRs7cuzN76MJtXJxf2NOU9VigGOWp7q/EaLQ+yPoaHh6OughEiZm9dmL31YTavTra0NfDXv7CbN1101pJjhWKQo7a3Gge5tjbyjHZGyLS3ty9fyIgNZm9dmL31YTavXnpa6mlKLl2PolAMctT2VuMgW5o3fUSdIsYIF7O3Lsze+jCbVzd1AV5wukAMctT2NgfZiC1TU1NRV8EIEbO3Lsze+jCbVze1AQmRZz3fLGglvajtrcZBtjzI+og6h6IRLmZvXZi99WE2r26ClpzOTtILSpUctb3VOMiWB1kfUedQNMLF7K0Ls7c+zObVTV3AMPFsgUl6UdtbjYNsad700dDQEHUVjBAxe+vC7K0Ps3l1EzSCnI1BDvLQora3Gq/RHGR9NDY2Rl0FI0TM3rqLOlyxAAAgAElEQVQwe+vDbF7dFBxBDnCeo7a3Gq/R8iDrY3R0NOoqGCFi9taF2VsfZvPqpi5goHIhBjmgfNT2VuMgWx5kfXR2dkZdBSNEzN66MHvrw2xe3QRO0vNGkBMBx6K2txoH2dK86WN8fDzqKhghYvbWhdlbH2bz6qa2QIhF0Ahy1PY2B9mILTMzM1FXwQgRs7cuzN76MJtXN4UWCgmKQY7a3mocZMuDrI+ocyga4WL21oXZWx9m8+qmUIhFkDMatb0jd5BFpENEviUiT3p/AxffFpGbvDJPishN3r51IvJ1EXlcRB4RkY/nu47lQdZH1DkUjXAxe+vC7K0Ps3l1E5TFIkvQCHLU9o7cQQbeDdztnNsJ3O1tL0JEOoD3A5cDlwHv9znSf+Sc2wVcDOwRkeuCLmJp3vQRdYoYI1zM3rowe+vDbF7dBI0gZwk6ErW9K8FrvB643fv/duCGgDLXAt9yzo0450aBbwH7nHOnnXPfBnDOzQBHgC1BF5GgdQyNWJNMJqOughEiZm9dmL31YTavbmp9A5W5g8lBK+lFbe9KyH3W7Zx7zvu/D+gOKLMZOO7bPuHtW0BE1gM/D/xZ0EWGhobYs2cPtbW1pNNp9u/fz8GDB+nr66OpqYlEIsHY2BhdXV2MjIzgnKOrq4v+/n6am5sBmJiYoLu7m8HBQUSEjo4OBgcHaW1tJZ1Oc+rUKXp6eujr66Ouro62tjaGhoZoa2tjZmaGycnJhePJZJKWlhaGh4dpb29ncnKSqampheMNDQ00NjYyOjpKZ2cn4+PjzMzMLBxvbGwkmUySSqXYsGEDqVSK2dnZheOmqZvjx48zMTERK01xtFO5NE1MTJBKpWKlKY52KpemmZkZTp8+HStNcbRTOTVNTU2RSqVipSmOdsqnaaDvmQWfrLYG0ukzPlo6PUdvb+8iTdPT00HuXGiIc27tLyLyr0BQtPV7gdudc+t9ZUedc4vikEXkXUCDc+7D3vYfAJPOuT/ytmuBfwHucs59KqgO//7v/+4uuOCCsugxqoNTp07R1NQUdTWMkDB768LsrQ+zeXUzenqWX/jSwwC01CcYnz7jIb/nlWdz1bmLp6CdOnWKJ5544sG9e/deEmY9s4QyguycuybfMRHpF5GNzrnnRGQjMBBQ7BngKt/2FuBe3/ZfAk/mc44B0v6fKoYKUqmUdaaKMHvrwuytD7N5dePPg5yb8i0oPDmVSq11lQpSCTHIdwA3ef/fBPxzQJm7gFeLSLs3Oe/V3j5E5MNAG/DbhS4Sxki5UVlY5hJdmL11YfbWh9m8uvFP0stdNCQoBjlqe1eCg/xx4FUi8iRwjbeNiFwiIp8FcM6NAB8CDnuvDzrnRkRkC5kwjd3AERH5vojcHHQRy4Osj6hzKBrhYvbWhdlbH2bz6qYuccblTCYWu59BeRSitnfkk/Scc8PA3oD9DwA3+7ZvA27LKXOC4OwgS4j6l4gRPn19fWzfvj3qahghYfbWhdlbH2bz6sY/aJxYEmJheZAjI5FIRF0FI2QsVk0XZm9dmL31YTavbvzpdnPd4aAY5KjtrcZBNvRhP4p0YfbWhdlbH2bz+LDUQV7qIUdtbzUOsmWx0MfY2FjUVTBCxOytC7O3Pszm8SUoBjlqe6txkG2Snj66urqiroIRImZvXZi99WE2jw+5DnEiwEOO2t5qHOS5ubmoq2CEzMjISNRVMELE7K0Ls7c+zOZxYrFDHDSCHLW91TjIhj4s97UuzN66MHvrw2weH3Id4qAY5KjtrcZBrq2NPKOdETJRP54xwsXsrQuztz7M5vGlvtZCLCLD8iDro7+/P+oqGCFi9taF2VsfZvP40FqfyNleOogZtb3VOMhRpwsxwqe5uTnqKhghYvbWhdlbH2bz6ud915zDzz9/A1ee075of0v9Uh8tanurcZANwzAMwzCM6Hj52ev5//ZsJelbVq9GoClZeYOYahxky4Osj4mJiairYISI2VsXZm99mM3jw/rGMyEVLfW1i1bZyxK1vdU4yJYHWR/d3d1RV8EIEbO3Lsze+jCbx4fOdWd8sqDwCoje3mocZMuDrI/BwcGoq2CEiNlbF2ZvfZjN40MxDnLU9lbjIBv6CHpkY8QXs7cuzN76MJvHh9aGMyEWyUSwKxq1vdU4yJYHWR8dHR1RV8EIEbO3Lsze+jCbxwf/wiCz6eAFQaK2txoH2fIg6yPqxzNGuJi9dWH21ofZPJ7MpOcD90dtbzUOsuVB1kdra2vUVTBCxOytC7O3Pszm8WR6LthBjtreahxkQx+W2k8XZm9dmL31YTaPF5dvzTjAV53bHng8antH7iCLSIeIfEtEnvT+Bn5SInKTV+ZJEbnJt/8bIvIDEXlERP5cRAKHiqP+oI3wOXXqVNRVMELE7K0Ls7c+zObx4t2vPJsPvOocbnxhcDq3qO0duYMMvBu42zm3E7jb216EiHQA7wcuBy4D3u9zpN/knHshcCHQBbwx6CKWB1kfPT09UVfBCBGzty7M3vowm8eLpmSCl21fT12eLBZR27sSHOTrgdu9/28Hbggocy3wLefciHNuFPgWsA/AOTfmlakFkkDgdEibpKePvr6+qKtghIjZWxdmb32YzXURtb0rwUHuds495/3fBwSNtW8Gjvu2T3j7ABCRu4ABYBz4+6CLnDx5siyVNaqHf/qnf4q6CkaImL11YfbWh9lcF1HbO5TkwCLyr0DQWPl7/RvOOSciwQnxCuCcu1ZEGoAvAleTGWFexMmTJ9mzZw+1tbWk02n279/PwYMH6evro6mpiUQiwdjYGF1dXYyMjOCco6uri/7+fpqbm4HMuuDd3d0MDg4iInR0dDA4OEhrayvpdJpTp07R09NDX18fdXV1tLW1MTQ0RFtbGzMzM0xOTi4cTyaTtLS0MDw8THt7O5OTk0xNTS0cb2hooLGxkdHRUTo7OxkfH2dmZmbheGNjI8lkklQqxYYNG0ilUszOzi4cN03dDA8Pc+LEiVhpiqOdyqXp0KFD3HDDDbHSFEc7lUvT9773Pd74xjfGSlMc7VROTd/97ne54YYbYqUpjnYql6YHHniAK6+8slSXsGyIcyX7o+WtgMgTwFXOuedEZCNwr3Pu/Jwyb/bK/Lq3/RdeuS/nlPsl4DLn3C251/mrv/ord8MNQdEbRlzZs2cP3/ve96KuhhESZm9dmL31YTbXxZ49e/j0pz/94N69ey+J4vqV4CD/d2DYOfdxEXk30OGc+72cMh3Ag8CLvV1HgJcAM0CL51zXkhlB/jfn3P/Mvc6dd945Xl9f/8RaajEqi5GRkQ0dHR1DUdfDCAezty7M3vowm+vCs3fT3r17u6K4fiU4yJ3AV4FtQC+ZrBQjInIJ8BvOuZu9cr8KvMd720ecc38lIt3A14B6MvHU3wZ+xzk3F7YOwzAMwzAMIx5E7iAbhmEYhmEYRiVRCVksDMMwDMMwDKNiqDgHWUS2isi3ReRRb3W8d3j7A1fcE5FdInKfiEyLyLt85zlfRL7ve42JyG8HXK9BRP7TtxrfHxao2zdE5KSIfG0ttMeZsO3qlb1NRAZE5OGc/cWu3niLiBwVESciG3z7RUT+h3fshyLy4qD3G2col/29Y7/jneNhEfmyl8Em6JppXzu5I0+ZF3nXecSz5S/4jn1RRJ7wrnObiNhqQyugzLZ/h2ePR/Ld9165wHs/T9mEiDxk/frKicjGxfYDgd/bIvJ5Efmpr4940eo/CT2swOa/6PWxPxKR/xCRF/rOtc/ra49KZi5a0PW2i8gRz1aPiMhv5Cl3mc+mPxCR15VynUU45yrqBWwEXuz93wL8GNgNfBJ4t7f/3cAnvP/PAi4FPgK8K885E2RyLG8POCZAs/d/HXA/cEWe8+wFfh74WtSfU7W9wrard/xnyEzsfDhnf+A1A95/MXA28DSwwbf/NcD/89rOFcD9UX++lf4ql/3J5D//KdDobX8V+OU815wool7nATu9/zcBzwHrfXYW7/Vl4Dej/hyr8VVG218IPAysI5Oi9F+BHXmuGXjv5yn7TuBL1q9Xj41L7AcCv7eBzwNviPqzq9bXCmz+MqDd+/+67Pcmme/xnwDPI7PY2w+A3QHXSwL13v/NZL6XNwWUWwfU+uo44LWloq7jf1XcCLJz7jnn3BHv/3HgMTI3Q+CKe865AefcYaDQUnl7gZ8453oDrueccxPeZp33CgzMds7dTWYxEqNEwrard47vAiMBh4pZvRHn3EPOuafzvP+vvbZzCFgvmRSFRh7KbP9aoFEymWvWAc+uol4/ds496f3/LJnOtMvbvtOzsQP+E9iy0utopoy2fz6ZL9XTLjMR+zvA/jzXzHfvL0JEtgA/C3y2VF3GGaKwMUX2A/a9vTaswOb/4TIrIQMc4kx/ehlw1Dn3lHNuBviKd47c680456a9zWxihqB6ZdsOQANn/LmiruOn4hxkPyJyNplRvPspbsW9fNxIZgQo33USIvJ9Ml+O33LO3b+iChtFEZZdC7Caa8IyKzsahVmN/Z1zzwB/BBwjM9qbcs59M0/xBhF5QEQOiciySdBF5DIyIws/ydlfB7wN+MZy5zAKs8p7/2HgShHpFJF1ZEb4t66ySp8Cfg+YX+V5DI8wbFxiP1CIj3iP/f9UROpX8H6DFdn8AJmnsFDC96kX1vFDr/wnvEGNoHKXi8gjwI/IZEObK+U6WSrWQRaRZuAfgN92zo35j3kjOkWl3xCRJPBa4O/ylXHOpZ1zLyLzi+YyEblwxRU3ChKmXYuhlGsaq2e19vfi2a4HziETEtEkIm/NU3y7c+4S4C3Ap0Tk3ALn3Qj8DfArzrlcZ+l/Ad91zv1boboZhVmt7Z1zjwGfAL5J5sfK94H0Kurzc8CAc+7BlZ7DWExYNi6xH8jHrcAuMqEeHcDvl/h+g9JtLiKvJOMgl/x5O+eOO+cuAnYAN0km1W9QufudcxeQse2t+eLTl6MiHWRvxOYfgC865/6vt7s/+xjb+ztQ5OmuA4445/q99271BXAvCvJ2zp0kk0t5n/cLJFvuteXQpZ2o7BpA4DVF5C7v/cs9bn2GxaMaW7x9RgHKZP9rgJ865wadc7PA/wVeFnS/eqNMOOeeAu4FLg4qJyKtwNeB93ohM/46v59MyMU7V/0BKKZc975z7nPOuZc4534GGAV+XOy9H1BuD/BaEXmazOPWq0XkC6sSqpiQbVx0P1DgOs95EVTTwF+ReQRvlECpNheRi8iEM13vnBv2dgd+nxaypTdynH3a8DpfuUtyyj0GTJCJbS/5e7t2+Y8gXEREgM8Bjznn/sR36A7gJuDj3t9/LvKUb8b3GN45dxxYmK0qIl3ArHPupIg0Aq8iM3R/v7+csTrCtusyBF7TOXdtCe+/RUS+AlxO5vHec8u8RzVltP8x4Arv8eskmTj0B3LvV2+E6bRzbloyGUj2AJ90zj2aUy4J/COZmPK/z6nzzcC1wN6AUWWjSMp574vIWc65ARHZRiY29QpvYGPZez9PH3Grd96ryEwWK3UU0iB8G4vI5RTRDyxznY0uswqvkImTXTbjiXGGUm3u2fP/Am9zzv3YV/4wsFNEziHjsN4IvMU59wiLbb6FzKrLk17//nLgT51zPyLTh2fLnQMcd87Nich2Mk8JngZOBl2noEhXAbMh/S9PtAN+SObxyvfJxCF1AncDT5KZ2drhle8hE0sy5n0AJ4BW71gTMAy0FbjeRcBD3vUeBt5XoOy/AYNkbsgTwLVRf17V8grbrl65L5OJT5v13n/A2x94zYD3/5b3vjkyE0A+6+0X4DNkYlV/BFwS9edb6a8y2/8Pgce9+/Vv8GY251zvZZ5tfuD9PZCnXm/12sf3fa8XecfmPBtn9+ftG+wVmu3/DXjUs+veAtcMvPcLlL8Ky2JRbTZeth/wnW/J9zZwj9c3PAx8AS+blb3WzOafJfNEIFv2Ad+5XkMmC8ZPyDzJC7req7xr/cD7+2t5yr0NeMS7xhHghlKu43/ZSnqGYRiGYRiG4aMiY5ANwzAMwzAMIyrMQTYMwzAMwzAMH+YgG4ZhGIZhGIYPc5ANwzAMwzAMw4c5yIZhGIZhGIbhwxxkwzAMwzAMw/BhDrJhGIZhGIZh+DAH2TAMwzAMwzB8mINsGIZhGIZhGD7MQTYMwzAMwzAMH+YgG4ZhGIZhGIYPc5ANwzAMwzAMw4c5yIZhGIZhGIbhwxxkQw0isllEpkXkWRGpDTi+TUT+t4j81Cv3jIjcJSI3iIh4Ze4VERfwuiJ8RYZhGOEhIp/39XlzItIrIn8uIp055X5fRNIi8t8LnOs1Xv86LCKTIvKEd67zvONn5+lrH19rnYYB5iAbujgAfA04Cfy8/4CIvAj4PnA58E7gBcA1wB3AnwJtvuJfAjbmvB5c47obhmFUAv9Gps87G/gt4PXAX2cPeoMJbwc+CtwkIsncE4jI+4B/AY4C+4FdwK8CM8CHc4pfz+K+9uVlVWMYeVgyimYYcUREasg4yLcAu4FfA/7ROybA7cAzwGXOuTnfWx8TkduBKd++SedcXygVNwzDqCxmfP3fCRG5EPigiDQ65yaBvUAz8IdknOfXAX+bfbOIvMQ7dqtz7uO+8/YC3xOR9pzrjVh/a0SBjSAbWrgOqAf+H/A3wF4ROds79kLgIuATOc4xAM65iaD9hmEYBpNkfInsgNuvA1/0+szbvW0/bwNOA38SdDLn3Oga1dMwSsIcZEMLv4bXaTvnngXuAW72jp3n/X20yHPdJCITvtc3y11ZwzCMSkdEdgMHgfudc+MichaZkIjPe0W+APyMiOz0ve084CfOuZkiL/PNnP72pnLV3zAKYSEWRuwRkc3AzwIX+3bfDvyxiHwAkBJP+Y/Ae3zbk6uqoGEYRvVwlYhMAAkyT+Xu5swo8a8AP3LO/QjAOfeMiNxNZoDid70ypfa3v8LiOR4DK624YZSCOciGBg6Q6cwf8pJRZEmQmaz3hLe9GzhSxPnGnHNHy1pDwzCM6uB+4CZgDng2OxLsm5z3PBHxh6TVABeLyHu9sk+QGVVOFjmK/Iz1t0YUWIiFEWt8k/M+Crwo5/VlMiMbPwB+BPx+nvRvzUH7DcMwFDLpnDvqnHs6x8HdSyazxR4W97MXA41kJutBJuxiHZlsQUsImKRnGJFgX/pG3LkO2Ar8hXPumP+AiHyezKS97cAvk3lUeL+IfAh4hMwI8yuA3wdeTCY9nGEYhrGUXwe+45y7L/eAiPyLd/xvnXMPiMgHgY+IyFYyGS56gU3Am4DN3l/DiBQbQTbizq+RmUByLODYPcAIcLNz7giZkY4HgE+RcZDvITPq8dtAKpzqGoZhVBe+yXlfzVPkb8nELu8EcM69H7gB2An8E5mwi8+TiWl+T55zGEaoiHMu6joYhmEYhmEYRsVgI8iGYRiGYRiG4cMcZMMwDMMwDMPwYQ6yYRiGYRiGYfgwB9kwDMMwDMMwfKhJ83bvvfe6+vr6kt4zNzdHba2aj2gB060LrbqhvNpPnz49tHfv3q6ynKxKsH61eEy3PrRqj0u/qsZy9fX17Nq1q6T39Pb2sn379jWqUeViunWhVTeUV/uRI0d6y3KiKsL61eIx3frQqj0u/aqFWBSgp6cn6ipEgunWhVbdoFt7VGj9zE23PrRqj4vuineQReQ2ERkQkYfzHBcR+R8iclREfigiLy7Xtfv6+sp1qqrCdOtCq27Qq9361fAx3frQqj0uuiveQSazus6+AsevI7Maz04yq6b979VeMD3vOHQsxTeOzXLoWIr0vK7FVBobG6OuQiSYbn0o1v55rF8NFa1tTatu0Ks9LrorPgbZOfddETm7QJHrgb92mSUBD4nIehHZ6Jx7biXXS887bv3GUR4fOM303Dxf/8kpdp21jo/t20GiRlZyyqojmUxGXYVIMN360Krd+tXw0drWtOoGvdrjorsaRpCXYzNw3Ld9wtu3Ig6fGOPxgdNMzc3jgKm5eR4fOM3hE2OrrWfVkEqloq5CJJhufWjWvgzWr5YZrW1Nq27Qqz0uuit+BLlcDAwMcODAAWpra0mn0+zfv5+DBw/S19dHU1MTiUSCsbExHusTpufmF713em6eHx0fZqM7SXd3N4ODg4gIHR0dDA4O0traSjqd5tSpU/T09NDX10ddXR1tbW0MDQ3R1tbGzMwMk5OTC8eTySQtLS0MDw/T3t7O5OQkU1NTC8cbGhpobGxkdHSUzs5OxsfHmZmZWTje2NhIMpkklUqxYcMGUqkUs7OzC8f9mrq6uhgZGcE5R1dXF/39/TQ3NwMwMTGxRNPs7Cyjo6Ox0lSMnerr6xkYGIiVpmLsJCL09vbGSlOxdmpra6O3t7dsmrRh/ar1q9av5tc0OzvL9PR0rDRp6lcl8wStsvEeBX7NOXdhwLG/AO51zn3Z234CuCr3UeB9993niklHdOhYio/e8zRTvs68obaG91x9Nldsa1uVjmrh2WefZdOmTVFXI3RMtz7Kqf3IkSMP7t2795KynCwErF8NF633mVbdoFd7XPrVOIRY3AH8kjfr+gogtdI4OYBLt7Sy66x1pKdP4+bnaaitYddZ67h0S2v5alzhzM7ORl2FSDDd+tCsfRmsXy0zWtuaVt2gV3tcdFd8iIWIfBm4CtggIieA9wN1AM65PwfuBF4DHAVOA7+ymuslaoSP7dvBjivfwbqN5/K5P/kwl25pVTORBOKTw7BUTLc+tGq3fjV8tLY1rbpBr/a46K54B9k59+ZljjvgYDmvmagRUo8dIvXYIa7Y9ulynroq6OvrU7n6j+nWh1bt1q+Gj9a2plU36NUeF91xCLEwykxTU1PUVYgE060PzdqNcNHa1rTqBr3a46LbHGRjCYlEIuoqRILp1odm7Ua4aG1rWnWDXu1x0W0OsrGEsTE9uUn9mG59aNZuhIvWtqZVN+jVHhfd5iAbS+jq6oq6CpFguvWhWbsRLlrbmlbdoFd7XHSbg2wsYWRkJOoqRILp1odm7Ua4aG1rWnWDXu1x0W0OsrGEalg8Zi0w3frQrN0IF61tTatu0Ks9LrrNQTaWEJfHI6ViuvWhWbsRLlrbmlbdoFd7XHSbg2wsob+/P+oqRILp1odm7Ua4aG1rWnWDXu1x0W0OsrGE5ubmqKsQCaZbH5q1G+Gita1p1Q16tcdFtznIhmEYhmEYhuHDHGRjCRMTE1FXIRJMtz40azfCRWtb06ob9GqPi25zkI0ldHd3R12FSDDd+tCs3QgXrW1Nq27Qqz0uus1BNpYwODgYdRUiwXTrQ7N2I1y0tjWtukGv9rjoNgfZWIKIRF2FSDDd+tCs3QgXrW1Nq27Qqz0uuqvCQRaRfSLyhIgcFZF3BxzfJiLfFpGHROSHIvKaKOoZFzo6OqKuQiSYbn1o1m6Ei9a2plU36NUeF90V7yCLSAL4DHAdsBt4s4jszin234CvOucuBm4E/le4tYwXcXk8UiqmWx+atdvAQ7hobWtadYNe7XHRXfEOMnAZcNQ595Rzbgb4CnB9ThkHtHr/twHPhli/2NHa2rp8oRhiuvWhVbsNPISP1ramVTfo1R4X3bVRV6AINgPHfdsngMtzynwA+KaI/H9AE3BN7kkGBgY4cOAAtbW1pNNp9u/fz8GDB+nr66OpqYlEIsHY2BhdXV2MjIwsvK+3t3ch6fXExATd3d0MDg4iInR0dDA4OEhrayvpdJpTp07R09NDX18fdXV1tLW1MTQ0RFtbGzMzM0xOTi4cTyaTtLS0MDw8THt7O5OTk0xNTS0cb2hooLGxkdHRUTo7OxkfH2dmZmbheGNjI8lkklQqxYYNG0ilUszOzi4cD9LknKOrq4v+/v6Cmvr6+gBipakYOwHMzs7GSlMxdhoeHmZsbCxWmoq1UzKZpLe3t2yaqoiFgQcAEckOPDzqK2MDD2UknU5HXYVI0Kob9GqPi25xzkVdh4KIyBuAfc65m73ttwGXO+du8ZV5JxktfywiLwU+B1zonJvPlrnvvvvcrl27ir5uNobG7yxrobe3l+3bt0ddjdAx3foop/YjR448uHfv3kvKcrI1psh+dSPwTaAdb+DBOfeg/zz//M//7G699daiBx4uuugiAB566KGK+qEUxo+/o0ePsnXr1lhpKsZOU1NTC/WOi6Zi7dTf38/5558fK03F2CmdTpNIJMqiqbe3N7J+tRoc5JcCH3DOXett3wrgnPuYr8wjZDr74972U8AVzrmBbBlzkItnenqa+vr6qKsROqZbH+XUHkMH2QYeyojW+0yrbtCrPS79ajXEIB8GdorIOSKSJBMLd0dOmWPAXgAReT7QAMQjSjwCsiEW2jDd+lCs/Rlgq297i7fPzwHgqwDOufvI9KsbQqldDNHa1rTqBr3a46K74h1k59wccAtwF/AYmUkjj4jIB0XktV6x/wq8XUR+AHwZ+GVX6UPjFUxdXV3UVYgE060Pxdpt4CFktLY1rbpBr/a46K6GSXo45+4E7szZ9z7f/48Ce8KuV1xpa2uLugqRYLr1oVW7c25ORLIDDwngtuzAA/CAc+4OMgMP/0dEfofMhD0beFgFWtuaVt2gV3tcdFeFg2yEy9DQEE1NTVFXI3RMtz40a7eBh3DR2ta06ga92uOiu+JDLIzwicuvv1Ix3frQrN0IF61tTatu0Ks9LrrNQTaWMDMzE3UVIsF060OzdiNctLY1rbpBr/a46DYH2VjC5ORk1FWIBNOtD83ajXDR2ta06ga92uOi2xxkYwk9PT1RVyESTLc+NGs3wkVrW9OqG/Rqj4tuc5CNJcQlh2GpmG59aNZuhIvWtqZVN+jVHhfd5iAbS0gmk1FXIRJMtz40azfCRWtb06ob9GqPi25zkI0ltLS0RF2FSDDd+tCs3QgXrW1Nq27Qqz0uus1BNpYwPDwcdRUiwXTrQ7N2I1y0tjWtukGv9rjoNgfZWEJ7e3vUVYgE060PzdqNcNHa1rTqBr3a42tAvqAAACAASURBVKLbHGRjCXFJ0VIqplsfmrUb4aK1rWnVDXq1x0W3OcjGEqampqKuQiSYbn1o1m6Ei9a2plU36NUeF93mIBtLiEsOw1Ix3frQrN0IF61tTatu0Ks9Lror3kEWkX0i8oSIHBWRd+cp8yYReVREHhGRL4Vdx7gRlxyGpWK69aFZuxEuWtuaVt2gV3tcdNdGXYFCiEgC+AzwKuAEcFhE7nDOPeorsxO4FdjjnBsVkbOiqW18aGhoiLoKkWC69aFZuxEuWtuaVt2gV3tcdFf6CPJlwFHn3FPOuRngK8D1OWXeDnzGOTcK4JwbCLmOsaOxsTHqKkSC6daHZu32dC5ctLY1rbpBr/a46K7oEWRgM3Dct30CuDynzHkAIvI9IAF8wDn3jdwTDQwMcODAAWpra0mn0+zfv5+DBw/S19dHU1MTiUSCsbExurq6GBkZWXhfb28vzc3NAExMTNDd3c3g4CAiQkdHB4ODg7S2tpJOpzl16hQ9PT309fVRV1dHW1sbQ0NDtLW1MTMzw+Tk5MLxZDJJS0sLw8PDtLe3Mzk5ydTU1MLxhoYGGhsbGR0dpbOzk/HxcWZmZhaONzY2kkwmSaVSbNiwgVQqxezs7MLxIE3OObq6uujv7y+o6emnn2br1q2x0lSMnaamppiamoqVpmLsdOLECZqammKlqVg7pdNpRkdHy6apWrCnc+EzOjpKa2tr1NUIHa26Qa/2uOgW51zUdciLiLwB2Oecu9nbfhtwuXPuFl+ZrwGzwJuALcB3gRc45076z3Xfffe5Xbt2FX3tjo4OgEXOshYmJiaq7gu/HJhufZRT+5EjRx7cu3fvJWU52RojIi8lM5hwrbd9K4Bz7mO+Mp8Efuyc+2y+81i/Wjxa7zOtukGv9rj0q5U+gvwMsNW3vcXb5+cEcL9zbhb4qYj8GNgJHA6nivFjfHxc5U1tuvWhWHtZns7Zk7nin4709vayadOmWGkqxk7pdJrTp0/HSlOxdhoaGmLHjh2x0lSMnWpqahgeHq76J3OVPoJcC/wY2EvGMT4MvMU594ivzD7gzc65m0RkA/AQ8CLn3KK1Dm2ko3h6e3vZvn171NUIHdOtj3Jqr7IR5LI8nbN+tXi03mdadYNe7XHpVyt6kp5zbg64BbgLeAz4qnPuERH5oIi81it2FzAsIo8C3wZ+N9c5NkojLjkMS8V060Ox9mKfzt3hnJt1zv2UzGDFzpDqFzu0tjWtukGv9rjormgHGcA5d6dz7jzn3LnOuY94+97nnLvD+985597pnNvtnHuBc+4r0da4+olLDsNSMd36UKz9MLBTRM4RkSRwI3BHTpl/Aq4C8J7OnQc8FWYl44TWtqZVN+jVHhfdFe8gG+ETlxQtpWK69aFVuz2dCx+tbU2rbtCrPS66K32SnhEByWQy6ipEgunWh2btzrk7gTtz9r3P978D3um9jFWita1p1Q16tcdFt40gG0tIpVJRVyESTLc+NGs3wkVrW9OqG/Rqj4tuc5CNJWzYsCHqKkSC6daHZu1GuGhta1p1g17tcdFtDrKxhLj8+isV060PzdqNcNHa1rTqBr3a46LbHGRjCbOzs1FXIRJMtz40azfCRWtb06ob9GqPi25zkI0lxCWHYamYbn1o1m6Ei9a2plU36NUeF93mIBtLiEsOw1Ix3frQrN0IF61tTatu0Ks9LrrNQTaW0NTUFHUVIsF060OzdiNctLY1rbpBr/a46DYH2VhCIpGIugqRYLr1oVm7ES5a25pW3aBXe1x0m4NsLGFsbCzqKkSC6daHZu1GuGhta1p1g17tcdFtDrKxhK6urqirEAmmWx+atRvhorWtadUNerXHRbc5yMYSRkZGoq5CJJhufWjWboSL1ramVTfo1R4X3VXhIIvIPhF5QkSOisi7C5R7vYg4EbkkzPrFDedc1FWIBNOtD83ajXDR2ta06ga92uOiu+IdZBFJAJ8BrgN2A28Wkd0B5VqAdwD3h1vD+BGXxyOlYrr1oVm7ES5a25pW3aBXe1x0V7yDDFwGHHXOPeWcmwG+AlwfUO5DwCeAqTArF0f6+/ujrkIkmG59aNZuhIvWtqZVN+jVHhfdtVFXoAg2A8d92yeAy/0FROTFwFbn3NdF5HeDTjIwMMCBAweora0lnU6zf/9+Dh48SF9fH01NTSQSCcbGxujq6loUP9Pb20tzczMAExMTdHd3Mzg4iIjQ0dHB4OAgra2tpNNpTp06RU9PD319fdTV1dHW1sbQ0BBtbW3MzMwwOTm5cDyZTNLS0sLw8DDt7e1MTk4yNTW1cLyhoYHGxkZGR0fp7OxkfHycmZmZheONjY0kk0lSqRQbNmwglUoxOzu7cDxIk3OOrq4u+vv7C2qanJxkdHQ0VpqKsZOIMDAwECtNxdhpbm6O3t7eWGkq1k719fX09vaWTVM1ISL7gD8DEsBnnXMfz1Pu9cDfA5c65x4IsYqxohrbSDnQqhv0ao+Lbqn0WBEReQOwzzl3s7f9NuBy59wt3nYNcA/wy865p0XkXuBduR35fffd53bt2lX0dTs6OoD4BJuXwvDwMJ2dnVFXI3RMtz7Kqf3IkSMP7t27tyrmP3ihaz8GXkVm0OEw8Gbn3KM55VqArwNJ4BbrV1eO1vtMq27Qqz0u/Wo1hFg8A2z1bW/x9mVpAS4E7hWRp4ErgDvCnKiXnnccOpbiCw/1cehYivR8Zf/oWI6JiYmoqxAJplsfirVb6FrIaG1rWnWDXu1x0V0NIRaHgZ0icg4Zx/hG4C3Zg865FLAhu51vBHmtSM87bv3GUR4fOM303Dz1tTXsOmsdH9u3g0SNhFGFstPd3R11FSLBdOtDsXYLXQs5fGhubk5l6FpjY6PK0LXJyUnm5uaYnp6OlaZi7NTe3h6L0LWKD7EAEJHXAJ8iEyt3m3PuIyLyQeAB59wdOWXvJcQQi0PHUnz0nqeZmptf2NdQW8N7rj6bK7a1FX29SuL48eNs3bp1+YIxw3Tro5zaqyzEwkLXQkbrfaZVN+jVHpd+tRpGkHHO3QncmbPvfXnKXhVGnbIcHZ5k2uccA0zPzfOT4cmqdZBFqnPke7WYbn0o1l5K6BpAD5nQtdfaRL2VobWtadUNerXHRXdVOMiVzI7ORupraxaNINfX1nBuZ2OEtVod2VEebZhufSjWXtGha1nS847DJ8Y4OjzJjs5GLt3SWrWha1rbmlbdoFd7XHRXwyS9iubSLa3sOmsd6enTuPl5GrwY5Eu3tEZdtRUzODgYdRUiwXTrQ6t259wccAtwF/AY8FXn3CMi8kEReW20tcuQnd/x0Xue5m8efI6P3vM0t37jaNVOgtba1rTqBr3a46LbRpBXSaJG+Ni+Hey48h2s23gun/uTD1f1KAdAa2v1OverwXTrQ7P2Sg5dAzh8YozHB04vPJ2bmpvn8YHTHD4xVpXha1rbmlbdoFd7XHTbCHIZSNQIqccO8dw9X+SKbW1V7RwDpNPpqKsQCaZbH5q1VzqF5ndUI1rbmlbdoFd7XHSbg2ws4dSpU1FXIRJMtz40a690svM7/FTz/A6tbU2rbtCrPS66zUE2ltDT0xN1FSLBdOtDs/ZKJ27zO7S2Na26Qa/2uOg2B9lYQl9fX9RViATTrQ/N2iud7PyOp770EZ795ud5z9VnV/UCTFrbmlbdoFd7XHSbg2wsoa6uLuoqRILp1odm7dVAnOZ3aG1rWnWDXu1x0W0OsrGEtrbqmyFeDky3PjRrN8JFa1vTqhv0ao+LbnOQIyI97zh0LMUXHurj0LFUReX2HBoairoKkWC69aFZuxEuWtuaVt2gV3tcdFse5AjIJsB/fOA003Pz1HuTTyolvi4uv/5KxXTrQ7N2I1y0tjWtukGv9rjothHkCPAnwHcsToBfCczMzERdhUgw3frQrN0IF61tTatu0Ks9LrrNQY6ASk+APzlZGfUIG9OtD83ajXDR2ta06ga92uOiu+IdZBHZJyJPiMhREXl3wPF3isijIvJDEblbRLZHUc9SqPQE+HHJYVgqplsfmrUb4aK1rWnVDXq1x0V3RTvIIpIAPgNcB+wG3iwiu3OKPQRc4py7CPh74JPh1rJ0Kj0BflxyGJaK6daHZu1GuGhta1p1g17tcdFd6ZP0LgOOOueeAhCRrwDXA49mCzjnvu0rfwh4a6g1XAHZBPg7rnwH6zaey+f+5MNcuqW14AS99Lzj8Ikxjg5PsqOzcdnyqyGZTK7JeSsd060PzdqNcNHa1rTqBr3a46K70h3kzcBx3/YJ4PIC5Q8A/y/owMDAAAcOHKC2tpZ0Os3+/fs5ePAgfX19NDU1kUgkGBsbo6uri5GRkYX39fb20tzcDMDExATd3d0MDg4iInR0dDA4OEhr65mR3+npafr6+qirq6OtrY2hoSHa2tqYmZlhcnKSnp4e+vr6SCaTpB47ROqxQ+xe/xGGBgeYmppaON7Q0EBjYyOjo6Osb+/g/Xcf4ycnZ5hJQzIBO9qT/MErNjE+NsaGDRtIpVLMzs4uvD9Ik3OOrq4u+vv7C2qamJhgdHSUdDrNqVOnFs5ZjKaWlhaGh4dpb29ncnIyr6bOzk7Gx8eZmZlZON7Y2Jj5XFKpsmvK2qmQpmQyycDAQKw0FWOnmZkZent7Y6WpWDu1trbS29tbNk2GkY+WlpaoqxAJWnWDXu1x0S3OVU7+3VxE5A3APufczd7224DLnXO3BJR9K3AL8Arn3HTu8fvuu8/t2rWr6Gt3dHQALHKWy1m+lPccOpbio/c8zZRvYl9DbQ3vufpsrthW/nQqvb29bN9e8aHcZcd066Oc2o8cOfLg3r17LynLyUJARPYBfwYkgM865z6ec/ydwM3AHDAI/KpzrtdfZq371ZW+pxLRep9p1Q16tcelX63oGGTgGWCrb3uLt28RInIN8F7gtUHOcbUTdtaL9vb2NTlvpWO69aFVe1znd1QyWtuaVt2gV3tcdFe6g3wY2Cki54hIErgRuMNfQEQuBv6CjHM8EEEd15yws17EJUVLqZhufSjWvjC/wzk3A2TndyzgnPu2c+60t3mIzACFsUK0tjWtukGv9rjormgH2Tk3RyZs4i7gMeCrzrlHROSDIvJar9h/B5qBvxOR74vIHXlOV7WEnfViampqTc5b6ZhufSjWHjS/Y3OB8nnndxjFobWtadUNerXHRXelT9LDOXcncGfOvvf5/r8m9EqFzEqyXqyGuOQwLBXTrQ/N2ovFm99xCfCK3GNrPfk5nU4vek81TxROp9MqJz+vW7dO5eTnyclJ0un0wsT9uGgqxk4dHR2xmPxc0ZP0ykk1T9JbzTVWgk0s0IVW3RCfySSlIiIvBT7gnLvW274VwDn3sZxy1wCfJjP5eUkIm03SKx6t95lW3aBXe1z61YoOsTCioaGhIeoqRILp1odi7Ta/I2S0tjWtukGv9rjoNgfZWEJjY2UseR02plsfWrXb/I7w0drWtOoGvdrjorviY5CNlbPS1fdGR0cXLX6iBdOtD83abX5HuGhta1p1g17tcdFtDnJMSc87bv3GUR4fOM303Dz1XuaLj+3bsayT3NnZGVItKwvTrQ/N2uPISgcFwkBrW9OqG/Rqj4tuc5BjyuETYzw+cHph9b2puXkeHzjN4RNjy66+Nz4+Hvns0Sgw3frQrD1urGZQIAy0tjWtukGv9rjothjkmLKa1fdmZmbWqloVjenWh2btccM/KOBYPChQCWhta1p1g17tcdFtDnJMWc3qe1pzw5pufWjWHjdWMygQBlrbmlbdoFd7XHSbgxxTVrP6Xl9fXwg1rDxMtz40a48bqxkUCAOtbU2rbtCrPS66LQY5pqxm9b24pGgpFdOtD83a40Z2UODBnw5QU9dAY7J22UGBMCf1aW1rWnWDXu1x0W0OcoxJ1Aipxw6ReuwQV2z79LLls18WD584xYVTqYqaAR4GyWQy6ipEglbdoFt73Ch1UCDsSX1a25pW3aBXe1x0W4iFAZz5svjoPU/zd4+e5KP3PM2t3zhKel7HUuQAqVQq6ipEQrXrTs87Dh1L8YWH+jh0LFVSm6127cZisoMCz93zRa7Y1lbQ0Q17Up/WtqZVN+jVHhfdNoJsAKtLCxcXNmzYEHUVIqEU3ZWWZ3a1o4BabW4UntS3Fn2e1ramVTfo1R4X3VXhIIvIPuDPgATwWefcx3OO1wN/DbwEGAZ+wTn39FrVZ2punvl5hwOcy/zNkpqaO7PPkSmz8H/2PZlXlufGp8meJHs8u7V4O8Ox0SnfURZdP7dslqeWmcl9+PjYgnPs13n4+BhdTXUF31sugupezFjgsmVc7uaZHf5rTo4O0tBexPUC61l85YN259OQz57Fn2F5ZlKDJNu6li037xx/ef+zHDs5xUzakUwI29Y38GuXb6JGyuckzzvH4wOneWZsms2t9ew6a13e8z/af4pH+08xk87on5qb59H+U/zdD/vZ3d207LWCtDfUJThvw7rVCzEqmuykPn+/t5aT+lKpFE1Ny7fJuKFVN+jVHhfdFe8gi0gC+AzwKuAEcFhE7nDOPeordgAYdc7tEJEbgU8Av7BWdXp6ZOnIg/9YqQyMl5YzcHRytuRrjE/PFTy+YV0dyYQsOBoAyYSwYV0dE9Ppkq9XjczOzlKTx65xZn4uXZQj/lj/6QXnGGAm7Th2corH+k8X5YwWVRfn+D//udQJf/tlwU74idT0ojabrdczY9M8/6z8dco64cf6J9nWfWqxE64nqkg1K5nUtxpmZ0vvt+OAVt2gV3tcdFe8gwxcBhx1zj0FICJfAa4H/A7y9cAHvP//HvifIiLOFT/+pp1dZ61j2/oGnnh2mJq6BurrEmxb38Cus/SMpNW1xmN5zGLJOoknTibYMnuq4EgtwDNjwc7os+PTZXOQHx8IdsIfHwh2wje31gf+sNvUUp/3Gkuc8Of6CjrhRjxZTaaflRCX3LClolU36NUeF91S6T6kiLwB2Oecu9nbfhtwuXPuFl+Zh70yJ7ztn3hlhrJlPveP33Ifuj8eq7usJcm6Gmpra5ibm2dmVt9oqibaWpLU1tUgZAZN52bnSRV4mpGsq6GlJbnIiZx3jvHxmYJtpZQ2ta6xlnWNtYjvGs45Tk/OcXoy+ClIWDqW43Ovanhw7969l6z4BFXIfffd53bt2lV0+Y6ODgBGRkbW7D1rXX6l9Pb2sn379jW9RiWiVTfo1V5O3UeOHImsX62GEWQjRGZmzTHWQLKuhtq6mgUnUYDauhqSdTV57T8zO8/c7PwSZ7RQeynVeZ3zMgr4x/Cctz8fqfGZkpzw2toacscIxdtvbd9YK+IQk7kSNOrOTmb+4fE5LhJ9KVPjYvNqcJCfAbb6trd4+4LKnBCRWqCNzGS9BXb3NPPQ7xc/0gEwOjpKe/vSWVuPD5zKG4McB+ZOj1G7rvg4vFdemPml+O2HeyuivF1j+fLfenKEbz65eMSsRoQ3XbKRa3Z05H1fNizj2fFpNrUsP4Hui9/vWwh/EKC5sZZff+mWvCEZwTHIjbz9NTvKFv6QWy/ITM761Su3sbu7ica6BOd1lR5adOTIkbLUz4gniUQi6iosIqyMNJWmu1RK/ZxyM+t87ejEmubXrkSq3eZZqsFBPgzsFJFzyDjCNwJvySlzB3ATcB/wBuCecsQfj42NBTrI29sbyKZanXduYYLToqwWARkssu9xvowWhbJXnCm7sHtxBgZfmVzO1Kn0j2F8bJLm+iLSOeTQXL/0pihkhabkmfLFZHZo9JUvVlZD3eJU3/76BJ0i6VuqtthsFbUBnV6h6tXklA/+jBbvDPINc9837xxtz7+CdZt28Gh/4ZjilcTuQsaJ3t3dVFTM8UpilmtEePtlm4p2wldCNt4+dyKgpnh7qLzsQD94dnxVx8MuXyrTI0PUT1bGV26pk2FXQyXpLpWVfE75Mut89Qf5M+uUkrknLFZTp3w2f+GmlnJXc02p+FbrnJsTkVuAu8h05Lc55x4RkQ8CDzjn7gA+B/yNiBwFRsg40aumqys49VVjXTx+HeXjdOMm1q0r3Vk4t7O09+woMZXWSlJvnd9V2qOeQpkP8nFBT3NJ5V9QYnmAizYW7liyoxbPe8t7qalr4Ms/6C84anFhTzMPPTe+JH/wm17YXbZRjsm5eb7705OL0mg11Naw5+z1y3aUF29em0wCWT59fUsm93ffGLt6WtU9Aq3E7EBxp655fdRVWKDUybCroZJ0Q2mO30o+p1IHBsL6sVKK7tXWqdJsvlIqfpJeuSh1MgnAiRMn2LJlyxrVqHIpRXd63rHjyp9l3aYdfO6PP1SUoxHGJBpt1zh0LMVH73l6iTP6nqvPzrvoQfbR4UM/7ePic3rK7iSGvZTvSijnPR7lZJJSEZGXAh9wzl3rbd8K4Jz7mK/MXV6Z+7zQtT6gy/90Tuvk52qfzLySybBxoZR5ESv5nEqdBLxWk4ZzKUV3WHUqhignP1f8CHKUaPnxkEuxunNHLT96z9MV5wBpYSWrgiVqhCu2tbFZxti6tfwrh2XTaB0+McZPhic5twJW3stF6z0ObAaO+7ZPAJfnK+M9yUsBncAQiil14mklspLJsHGg1MnJK/mcSp3MHMak4VJ120TmDOYgFyBfiEXcKVZ3dnnqRH0m9GEtlqdOz5+Jqz10TNds4FK0r2ZVsLVs51knvFKXK9d6j5eLlUx+npqaoqGhYcn+tY4BLgcrnXi6/003sm7TDv7be95TdCznWk4CXulk2FKvUarulbynlDqVOjl5pZ/TQjjDydNsXr+upMnMsHjScD7WUvdK67Sc/VYSgxzl5GdzkAvQ39+vModhsbpXMmpZCppHqEvVnl0VLDecoZhVwbS2c1CtvSzZgVZCNX/mK40vzd7HX/x+ZSxKs9aTYVeie6XvKXZiMpQ+OXmln1N2MvO5dePUdxSO6Q5j0nCpuldSp0pt66vBHOQCNDeXPpkqDhSrezWjlsUQxgh1pVKq9tWEM2ht56Bae2TZgfJ95tUww73UiaeHjqU4kZpeuI9n0o4TqWmm044rthU3EbXUz6WU8iudDLvcNVaiu9T3lDoxGVY+OXmln9Nw/QydncvbIztpuNi+2/90cXJuftnyK9Fdap3K0dYrDXOQjRWzmlHLYljrEepKZjUxxXH/bIzVE2V2oGqm1D5Pax+2Et2lvmclAyiVOi+ilL57JU9WV6K71O+TOLZ1c5ALMDExQWdnZ9TVCJ1ida91Z7PWI9SVTJjatbZz0K3dOXcncGfOvvf5/p8C3lju61bzZ15qn6e1D1uJ7lLfs1KHLMyBhLVo6yt9srrWuuPY1muWL6KX7u7uqKsQCaXozt50v3hxD1dsa1vWOc4+Gtq4960cOpYiPZ//iW12tKbBm1HbUOYR6tVQio6VlA9Tu9Z2Drq1R0W1f+al9HmV3IetJSvRXep7sg6Zn0pzyNairRf6YRAlcWzr/z975x4ex1Ue7vfTzVrLlizZiuXYjnOz46uS/AgBQlsoLpBSaEKKuUMIhkJxICmkECiGNAYSaKDhTgoEQig3hdIGCISQkFDABIiT2PItdmwLy7FkSZZ1s2RJq+/3x8zKq71Is9qZnTPa8z7PPtqdnd15z5zRp6Mz3znH9iBPQkdHB0uXLp16xxlGUOXO9dZQoW6H5TpTRq7lKNQtselSrNc5FHfZw6KYznny7/G2A238v3P9n2/cRKZT7lxjXtApfn4QxLVuak/tTLzWbQN5EiSiIy/zJahyTzdnLMjbQtNpvOZaDlNviSUo1uscirvsYVFs5zzxe7ykpI8lS6KZiwm5dyRMp9y5xDxT84mTCeJaN/kfg5lyrSewDeRJSKxiVmwEVe5CJfHnEsin03jNtRymD14o1uscirvsYVGs5zyXck/nrlaQ88XnM+VmkPVt+sDkIMoehX8MZsrvuM1BnoSOjo6wFUIhqHIXImcsOZCf+eKr+cRDh/jgz/dnzfmdTj5XruUwPVeuWK9zKO6yh0WxnnOv5c41huW6/3RI7kiQkpIJHQlTUaz1DcGVPdexP4VmptS5bSBPQnV1+LcswiCochciiT/XQD6dxmuu5TB98EKxXudQ3GUPi2I9517LnWsMy6fx6pV8BoYVa31D8ZZ9ppTbplhMQjweD1shFIIqdyFuDeWazjCdfK5cy2H6LbFivc6huMseFsV6zr2W28QUrnwGhhVrfUPxln2mlNs2kCdhYGCABQsWhK1RcIIst2lzMSY3Xh97+ijPOm+Rp8ZrruUwOVeuWK9zKO6yh0WxnnOv5c41hhViVoN8BoYVa31D8ZZ9ppTb6AayiNQB3wfOBg4Br1bV7pR9LgK+DFQDceDjqvp9P47f0NDgx9dEjiiXe7o9ws89q4aLF1Yya1bmtelnMlGu73wp5rKHRbGec6/lzjWGFWJWg3zughVrfUPxln2mlNvoBjJwI/Cgqt4qIje6rz+Qss9J4M2quk9EzgQeE5H7VfVEvgdva2tj2bJl+X5N5IhyufMJ5FEudz4Ua7mhuMseFsV6zr2W29QUruneBSvW+obiLftMKbfpg/SuAO5yn98FXJm6g6o+par73OfPAMeAej8O/j//8z9+fE3kiHq5pzvCN+rlni7FWm4o7rKHRbGe81zKnWsMM3lWg2Ktbyjess+Ucpveg7xQVY+6z9uASddtFJFLgQrg6dT3jh07xsaNGykrKyMej3PVVVexadMm2traqKqqorS0lN7eXurr6zl+/DiqykMPPcSVV17JnDlzAGdd9YULF9LR0YGIUFdXR0dHB9XV1cTjcQYGBmhoaKCtrY3y8nJqamro7OykpqaG4eFhBgcHx9+vqKhg7ty5dHV1UVtby+DgIENDQ+PvV1ZWEovF6O7uZv78+fT19TE8PDz+fiwWo6Kigp6eHhYsWEBPTw8jIyPj72crU319Pe3t7ZOW6cSJE3R3d8+oMnmpp8cff5xjx47NqDJ5qaeDBw/S7jCX0gAAIABJREFU0tIyo8rktZ4eeOABrrzySt/KZJma//7v/+a6664LW6Pg2HIXH8Va9plSblH1b67EaQmI/BLIlLDyr8Bdqjovad9uVa3N8j2LgIeBq1X196nvb926VVeuXJmT2/Of/3x++9vf5vSZmYAtd3FRrOUGf8u+bdu2x9avX3+JL18WEWxc9Y4td/FRrGWfKXE19AbyZIjIXuCFqno00QBW1Qsy7FeN0zj+hKrek+m7HnzwwQ6gJZfjHz9+fEFdXV1n7ubRxpa7uCjWcoPvZV+2fv16X9K7ooKNq96x5S4+irXsMyWumt5A/negK2mQXp2qvj9lnwrgZ8CPVfX2MDwtFovFYrFYLDMH0xvI84EfAGfh9FK8WlWPi8glwDtV9W0i8kbgG8DOpI++RVWfKLyxxWKxWCwWiyXqGN1AtlgsFovFYrFYCo3p07yFgohcLiJ7RWS/m9pRNIjIIRHZISJPiMifwvYJChG5U0SOiUhz0rY6EXlARPa5PzMOCI0yWcp9k4gccev8CRF5WZiOQSAiS0XkVyKyS0R2ish17vYZX+cmUayx1cbVmf07ZuPqzIyrtoGcgoiUAl8E/hZYDbxORFaHa1Vw/lpVL1LVmTwi/5vA5SnbEgvTLAcedF/PNL5JerkB/sOt84tU9b4COxWCUeB9qroaeC6wyf29LoY6NwIbW21cZeb+jn0TG1dnXFy1DeR0LgX2q+oBVR0GvoezYIllBqGqvwaOp2yecmGaqJOl3DMeVT2qqtvc533AbmAxRVDnBmFj6wzHxtXiYqbHVdtATmcxcDjpdau7rVhQ4Bci8piI/GPYMgUmp4VpZhjXish291ZhJG+HeUVEzgYuBh6luOu80BRzbLVx1aHYfsdsXI1wndsGsiWVv1DV/4dzG3STiPxV2EJhoM7o1WIZwfpl4DzgIuAo8OlwdYJDROYAPwSuV9Xe5PeKrM4thcXGVYrud8zGVaJd57aBnM4RYGnS6yXutqJAVY+4P48BP8K5LVostLsL0iRWZjwWsk9BUNV2VY2r6hjwVWZonYtIOU4Q/y9V/W93c1HWeUgUbWy1cbX4fsdsXI1+ndsGcjp/BJaLyDnuIiSvBe4N2akgiEiViMxNPAdeAjRP/qkZxb3A1e7zq4H/DdGlYCQCmcsrmYF1LiICfB3YraqfSXqrKOs8JIoyttq4Wpy/YzauRr/O7TzIGXCnY7kdKAXuVNWPh6xUEETkXJzeDYAy4Dsztewi8l3ghcACoB34KPA/ZFiYJizHIMhS7hfi3AZU4BDwjqT8sRmBiPwF8H/ADmDM3fwhnHy5GV3nJlGMsdXGVRtXsXE1knVuG8gWi8VisVgsFksSNsXCYrFYLBaLxWJJwjaQLRaLxWKxWCyWJGwD2WKxWCwWi8ViScI2kC0Wi8VisVgsliRsA9lisVgsFovFYknCNpAtFovFYrFYLJYkbAPZYrFYLBaLxWJJwjaQLRaLxWKxWCyWJGwD2WKxWCwWi8ViScI2kC0Wi8VisVgsliRsA9lisVgsFovFYknCNpAtFovFYrFYLJYkbAPZYjEAEVEReWPYHhaLxRJlROSFbjxdEraLJdrYBrLFOERkoYh8XkQOiciwiHSIyA9F5KIM+5aLyPtFZLuIDIpIr4j8WkSu8nismIh8SES2iUi/+/kdIvI5EVnpf+ksFoslPETkm24DUkVkVERaROQrIjI/aR9NegyIyJMistHDdy8VkS+IyH4RGXJj9x9E5AMisiDYklks/mIbyBajEJGlwJ+Ay4B/As4H/g4YBn4vIpcn7VsO/Ax4H3A7sBp4LvAg8H0RuWmKY1UDvwPeA3wVeAGwFngHMAjcPMlny6dVQIvFYgmf/wMWAWfjxL9/AL6Vss+17j4X4cTZr4nIhmxf6HZgPIETu28ELgYuBT4CXAi8dZLPVkyzHBZLcKiqfdiHMQ/gXqANqM7w3n3uezH39XsBBZ6TYd8PuO89a5JjfR44CSzL8r4kPf8m8Evg3cAhYAyIAS8GHgaOAz3AI8ClKd+jwHXAD4EB4AhwXYZ93gXcDfQBrcAHw64P+7AP+5hZj0QsS9n2r0A8KbYq8MaUffYB383ynQJsB54EyrLtk/T8EPAx4EtAF/Cou/06nEZ2vxvrvwcsSvrcC123VwB/AIaAZuBFGfZ5MfBrN8bvAv427HNvH9F62B5kizGISC1Ob/EXVLU3wy63AAtxAh/Am4AHVfXRDPt+FicwviHLsUqA1wPfVtWWTPuoqqZsuhR4EXAFTo/IMDAHJ8g/D6fnZB/w8+TblS4fxWlIXwx8Cvi0iFyRYZ9f4/TY3AJ8QkTWZ3KzWCwWHxnEuaNcNsU+2e6cXQisAz6pqqOZdsgQT98DHMOJndckbb/B/a5XAmfhNJJT+QzOHb6LgUeBH4vIopR9bgM+4bo9inNXsTaLv8WShm0gW0xiOc41uTPL+4ntFyT9zLivqg4BTyftm8oCoA7YnbxRRL7r5iL3i0h/ymfGgDep6pOqukNV46r6I1X9garuVdWdwD/i9KZcnvLZn6rq51X1KVX9LPADnD8EyXxfVb+qqk+r6heBPcDfZPG3WCyWvBGR1cAmnF7cvgzvl4nI23Aarb/M8jUr3J+p8bQ1KZ7+LOUzf1TVm9yYuAtAVT+rqr9U1YOqutX1+isRWZzy2VtV9SequhsnJa4T5w5cMv+mqj9X1X04KR9zcTo5LBZP2AayJYqM+LivpLz+Z5we3I8CVSnv7VbVCY1mETlHRO52B6X0Ar1ADbAs5bNbU17/FliTsu2JlNfP4PSYWywWi5+80G20DuKkKBzAuaOWzNfcToIh4D+AW4E7pvje1Hj6lzjx9D6clLRk/pD2YWcGivtF5LCI9AG/cd/KGk/dHus/MEk8VdV2nBQSG08tnpnsdorFUmj24fTSrgV+lOH9RAB8yv251903DRGpBM4Dfp7lWJ1AN7AqeaOqtrmfb8/wmYEM237iftcm4DBO2sVvgOkMOhlOea3Yf2ItFov/PApcDYwCz6hqauwBJy/5f3HygdszpEgkk4jJq4BtiY2qehDA7Tw4I+UzE+KpiJyF05C+Gyd9ohNYgtNr7Uc8BRtPLTlgLxaLMahqN/BT4Fp3holUPojTq/qA+/pu4EUi8pwM+16H02OROjI7cawx4DvAG0TknOn4unnGq3Fu993v3iYcIv0PATizayRzGc7AEYvFYik0g6q6X1UPZWkcg9Mo3q+qbVM0jsEZnNcM3JjHDD/PxonZ16vqb1V1L9l7fMfjqYiU4aRO2Hhq8RXbQLaYxiactIiHRORyd17NZ4vId3AGyL1eVRNpE5/HmdLtXhG5xk13WCUiH8UZIf1BVW2e5Fj/itNr/XsReZeIPEtEzhaRv8a53Tg2hWs30AG8XURWiMjzgO/iDGZJ5eUicq2ILBeRdwOvAT7t5YRYLBaLybgN6Ktxenz/ICKvcmPxchH5B+AvcFIcJmMfzl2z97mx/EqcKeIycaOIvExEVgFfBupxBktbLL5hUywsRqGqh0XkWcBmnHy3xUApTs/xOnfARWLfERF5GU7e8HtxAuUsnIbtlar64ymO1eM2at+LM7juNvdYh4GHcHLnJvv8mDsv6OdwpjhqAT4EfDLD7jfjDLj7FM50cO9X1UxpJBaLxRI5VHWbiFyIMyDukziN5VGc9IsmnA6NyT6/3e08uBGn8+Ix4HqcOZhTuQHYgpNi9zRwhao+41NRLBbAnZfQYjEZEfk74B7gNlXdPMW+5+I0bp/CCZqZenMLiogozuwX3w7bxWKxWKKKiLwQ+BWwVFVbQ9axzHBsioXFeFT1p8BLgLjbAJ5s3wM4I6d/izO/psVisVgsFktO2BQLSyRQ1f/DWR7Vy76HgX8L1shisVgsFstMxaZYWCwWi8VisVgsSRiTYuHOWLDXXXDhxgzvzxKR77vvPyoiZ7vbXywij4nIDvfniwrtbrFYLCZi46rFYrFMDyN6kEWkFGdQ1YuBVuCPwOsSy0+6+7wLaFTVd4rIa4FXquprRORinPkanxGRtcD9qpq6LCUPP/ywzpo1K+3Yo6OjlJVFK9PEOgdP1HzBOheKbM4nT57sXL9+fX0IShkJM64mMKF+rYM5DqZ4WIfoOIQZV8P/bXG4FNjvDrBCRL4HXMHEib+vAG5yn98DfEFERFUfT9pnJxATkVmqeir5ALNmzWLlypVpBz516hSTBXgTsc7BEzVfsM6FIpvztm3bWkLQmYzQ4moCE+rXOpjjYIqHdYiOQ5hx1ZQUi8U4c88maHW3ZdzHXXu9B5ifss8/ANtSg/hktLW15SwbNtY5eKLmC9a5UETIObS4msCEc2UdzHEAMzysg3Xwgik9yHkjImtwJid/Sab3jx07xsaNGykrKyMej3PVVVexadMmBgYG6OzspLS0lN7eXurr6zl+/DiqSn19Pe3t7cyZMweA/v5+Fi5cSEdHByJCXV0dHR0dVFdXE4/HGRgYoKGhgba2NsrLy6mpqaGzs5OamhqGh4cZHBwcf7+iooK5c+fS1dVFbW0tg4ODDA0Njb9fWVlJLBaju7ub+fPn09fXx/DwMA0NDQwMDHDs2DEqKiro6elhwYIF9PT0MDIyMv75qqoqo8o0MDBAe3t71jK1tbURi8WMKVN5eTktLS151VOhy5RwDvLa87tMZWVlHD58ONTfJ69l+slPqvn3f6+lre1CGhpGePe723jLW8onlGmmMd24mjhnY2NjtLS0hBqDBgYGOHXqVKi/r6WlpbS0tIR6bQ8MDDAwMBD634qBgQGOHj0aagyKx+N0dXWF+jf91KlTtLS0hPr3b2hoaLwNFOS1993vCl/60hKeeaaUhoYRPvzhk1x22SHPMSIsTMlBfh5wk6q+1H39QQBVvSVpn/vdfba6a6+3AfWqqiKyBGdxiGtU9beZjrF161bNdCvwxIkTzJs3z/cyBYl1Dp6o+YJ1DpKmpnKuv76KwUEZ3xaLKbffPsCGDc7K59u2bXts/fr1l4TlmEqYcTWBCfVrHcxxMMXDOhTOYarYOZVDmHHVlBSLPwLL3fXXK4DXAvem7HMvzlrvAK8CHnKD+Dzgp8CN2YL4ZPT09OShHQ7WOXii5gvWOUi2bIlNCPAAg4PCli2xkIw8EVpcTWBC/VoHcxzADA/rUDiHqWKnCechG0Y0kN3ct2uB+4HdwA9UdaeI3Cwif+/u9nVgvojsB96Ls1477ufOBz4iIk+4jzO8HnvBggW+laNQWOfgiZovWOcgOXIkc6jMtt0EwoyrCUyoX+tgjgOY4WEdCucwVew04Txkw5gcZFW9D7gvZdtHkp4PARsyfO5jwMeme9yenh6qqqqm+/FQsM7BEzVfsM5BsnjxGK2tpRm3m0xYcTWBCfVrHcxxMMXDOhTOYarYacJ5yIa53R8FYmRkJGyFnLHOwRM1X7DOQbJ58yCx2MTxGrGYsnnzYEhG0cCE+rUO5jiAGR7WoXAOU8VOE85DNoq+gdzQ0BC2Qs5Y5+CJmi9Y5yDZsGGE228fYMmSOCLKkiXxCQP0LJkxoX6tgzkOYIaHdSicw1Sx04TzkI2ibyCbPAdfNqxz8ETNF6xz0GzYMML27b1s2/Yk27f32saxB0yoX+tgjgOY4WEdCuuQiJ1dXSfSYqcJ5yEbRd9ANjX3ZTKsc/BEzResc6GIonNYmHCurIM5DmCGh3WwDl4o+gZyaWl68rjpWOfgiZovWOdCEUXnsDDhXFkHcxzADA/rYB28UPQN5N7e3rAVcsY6B0/UfME6F4ooOoeFCefKOpjjAGZ4WAfr4IWibyDX19eHrZAz1jl4ouYL1rlQRNE5LEw4V9bBHAcww8M6WAcvFH0D+fjx42Er5Ix1Dp6o+YJ1ni5NTeU0NlYzf/48GhuraWoqn3R/E5yjggnnyjqY4wBmeFiH/B1yjZtBOASNMQuFhIWqTr2TYVjn4ImaL1jnqWhqKmfLlhhHjpSwePHY+Dyc119fNb4UamtrKddfXwVkn8Itiuc5LEw4V9bBHAcww8M6eHfwK27m4xAWRd9ANrl7PxvWOXii5gvWeTKamsozBvRYTMe3JRgcFLZsiWUN9FE8z2FhwrmyDuY4gBke1sGbg59xc7oOYVL0KRbt7e1hK+SMdQ6eqPmCdZ6MLVtiGQP68eOScf8jR7KHxiie57Aw4VxZB3McwAwP6+DNwc+4OV2HMCn6BvKcOXPCVsgZ6xw8UfMF6zwZuQbuxYvHsr4XxfMcFiacK+tgjgOY4WEdvDn4GTen6xAmnkovIn8tIue4zxeJyF0i8g0RMXeNQIvFYnHJFrhra5VYbGIOXCym43l2FovFUqwUe9z0+u/Bl4C4+/zTQDkwBvxnEFKFpL+/P2yFnLHOwRM1X7DOk7F582DGgH7rrSe5/fYBliyJI6IsWRLn9tsnH2gSxfMcFiacK+tgjgOY4WEdvDn4GTen6xAmXgfpLVbVP4tIGfBSYBkwDDwTmFmBWLhwYdgKOWOdgydqvmCdJ8MJ3ANpo7ETAT2XwB7F8xwWJpwr62COA5jhYR28OfgZN6frECZee5B7RWQh8AJgl6ommvzTm/jOIDo6OsJWyBnrHDxR8wXrPBUbNoywfXsvXV0n2L69d9rBPYrnOSxMOFfWwRwHMMPDOnh38Ctu5uMQFl57kD8P/BGoAK53tz0f2BOEVCERyTwa02Ssc/BEzResc6GIonNYmHCurIM5DmCGh3WwDl7w1EBW1U+KyI+AuKo+7W4+ArwtMLMCUVdXF7ZCzljn4ImaL1jnQhGUs4jEgDFVPRXIAULAhPq1DuY4gBke1sE6eCGXOTwOAmeKyGvc10eAA/4rFRaTu/ezYZ2DJ2q+YJ0LhV/OInKbiFzqPv874DjQLSKv8OUABmBC/VoHcxzADA/rYB284HWat3XAU8BXga+7m18A3OmXiIhcLiJ7RWS/iNyY4f1ZIvJ99/1HReRsd/t8EfmViPSLyBdyPW51dXX+8gXGOgdP1HzBOqfS1FROY2M18+fPo7GxmqYmf4ZM+Oj8BqDZff4R4I3A3wOf8OsAYcXVBCZck9bBHAcww8M6ZHYIKmbm4mASXnuQvwx8RFVXAokM7UeAv/BDQkRKgS8CfwusBl4nIqtTdtsIdKvq+cB/AJ90tw8Bm4EbpnPseDw+9U6GYZ2DJ2q+YJ2TSSyR2tpaiqqML5HqR8D30Xm2qp4UkfnAuar6Q1X9Jc4sQXkTZlxNYMI1aR3McQAzPKxDukOQMdOrg2l4bSCvAb7tPlcAVR0AYj55XArsV9UDqjoMfA+4ImWfK4C73Of3AOtFRFR1QFV/gxPQc2ZgYGC6zqFhnYMnar5gnZPJtkTqli35hywfnZ8SkTcA1wIPAIjIAsCv2fZDi6sJTLgmrYM5DmCGh3VIdwgyZnp1MA2vs1gcAp4F/Cmxwc2d2++Tx2LgcNLrVuA52fZR1VER6QHmA51eDnDs2DE2btxIWVkZ8Xicq666ik2bNhGPx+ns7KS0tJTe3l7q6+s5fvw4qkp9fT3t7e3jSyH29/ezcOFCOjo6EBHq6uro6OigurqaeDzOwMAADQ0NtLW1UV5eTk1NDZ2dndTU1DA8PMzg4OD4+xUVFcydO5euri5qa2sZHBxkaGho/P3KykpisRjd3d3Mnz+fvr4+hoeHaWhoIB6Pc+zYMSoqKujp6WHBggX09PQwMjIy/vmqqiqjyhSPx2lvb89apra2NmKxmDFlqquro6WlJa96KnSZEs5BXnt+l6m2tpbDhw/7fu0dOTIvYxw4cqSE/v7+3Mp09CjV/f3EnnoKHn+c8w8e5NDNNzNWXp5Wphx5F/BZnLtyb3W3vRT4xXS+LAOhxdXEdRCLxWhpaQk1BsXjcU6dOhXq72tNTQ0tLS0F/1uRXKbEccP+WxGPxzl69GioMaiyspKurq5Q/6aXlJTQ0tIS6t8/EWFgYIDOzk6OHLkw4+/4kSOOZ1D15CVGhIWo6tQ7ibwcJ/f4K8D7gI8D7wTerqp5B3MReRVwuaq+zX39JuA5qnpt0j7N7j6t7uun3X063ddvAS5J/kwyW7du1ZUrV6Ztb2lpYdkyX+5oFgzrHDxR8wXrnExjYzWtraVp25csibN9e2/2D46OUrJvH2XNzZTu2OE8mpsp6eqasFvvww8Tb2ycsG3btm2PrV+//hJfCuADYcbVBCZck9bBHAdTPKxDusO0Y6aPDpkIM656nebtJyJyOfB2nNzjZcBVqvqYTx5HgKVJr5e42zLt0+qu6FcDdJEn5eXRW+vEOgdP1HzBOiezefMg119fNeGWYSymbN6clL3Q30/pzp2nG8PNzZTu2oUMpWcVjM2bR7yxkfjatXQuWcKcJUt88RSRFwOvBc5Q1VeIyCVAtao+5MPXhxZXE5hwTVoHcxzADA/rkO7gKWbmy6lTMGtWVgfT8Jpigao+jnNLMAj+CCwXkXNwAvZrgden7HMvcDWwFXgV8JB66f6egpqamny/ouBY5+CJmi9Y52QmLJHaKly86Bk+9qo/8MLDj1N6jdsrfOAAkiGExJctI75uHfG1a4mvW8founXo4sWQmNB+YACtqsrbUUTeDVwHfA0npoGTf/w54LK8DxBiXE1gwjVpHcxxADM8rEO6w1TLSufE6CglBw5QumsXpTt3Oj937QKg9/HHszqYRtYGsojc7OULVPUj+Uq4uW/XAvcDpcCdqrrTdfiTqt6Lk+Jxt4jsx5kv9LVJroeAaqBCRK4EXqKqu7wcu7Ozkyof/tgVEuscPFHzBesMcM/3S/jOTYdZ1L6dv5jzOL8763EW12+n5GiHsx5oElpezujKleMN4XhjI/E1a9ApAraPztcD61X1kIh8wN22B7jAjy8PM64mMOGatA7mOJjiYR1OO9x337y8GsXS0eE0gpMawqV792a8E6ezZsHJkzB79gSHsM9DNibrQV46yXu+o6r3AfelbPtI0vMhYEOWz5493eOa/N9LNqxz8ETNF4rQeWDACcbNzZTt2MGJR5p5w8GdvD0xCUQ/4DbnxmpqJvQKx9etI75iBVRUFNZ5InM5PYgu0WtbDgz7dYCw4moCE65J62COA5jhYR0cHn74TD70odNpFYmp3WAgvZE8OEjp3r1pvcIlWRb6iC9ZQnzNGuexahXxNWsYO+88SEmpMOE8ZCNrA1lVrymkSFgMD/v2t6hgWOfgiZovzGxnOXaM0h072PWdnbT/fBcrBp9kBU9RwulsgIXuz0Ms4wkuGn+0N6zjvp21p1MkCuTsgV8DN+IMek7wHuBXfh0gbEy4Jq2DOQ5ghkexOTQ1lbNlS4zW1hJKSyEeZ/wnTIyLQ4PKNz/axuurHp3QGC55+mlkbCztu3XOHKcRvHo1o+7PsVWrprwTl8CEusjGZCkWZ6vqIff5udn2U9VILzc9OOhjAnqBsM7BEzVfmCHO8biTu+YOmitLzCLR3g5MnKNshDJ2sHpCY/hJLqSbuglfKe0KciI45+nzbuDHIvJ2YK6I7AX6gJf7dYCwMeGatA7mOIAZHsXkkFgAJNFLnFiXIx6HGk6wjh00sp1GtrOOHaxjB3Pb+p11PZPQ0lLiK1aMN4YTP8eWLs2r88GEusjGZCkWO3BuAYIz37GS+q+Gsy19XpAI0dDQELZCzljn4ImaL0TQ+eRJlh49SsWvfnW6MbxrF5Jh4vhe5vIEF/E4F483hnexmmFmZfjiiSxenN7rkQ9+nWdVPSoiz8ZZ0OMsnHSLP6iqv8IhYsI1aR3McQAzPGaqQ6aeYoAyRlnD3vFGcOLnWROmST9Ne0kDdX+1cmJjeMUKqKz03dmEusjGZCkWc5Oee11xL3K0tbWFPhdhrljn4ImaL5jtLJ2d4/MKl7k/S/bvz3jL7s8sndAr/AQXcYizUc8Lf57G92mK8Pc8uzNGPOo+ZhwmXJPWwRwHUzyi7tDUVM6NN86muzu9z/JMjvJSdtAYP90YXsVuKkgfeDdIJc2sZTuN7GAd22lkf+VaPvzZ2dObvWIamFAX2fA0zZuIfE5V35Nh++2qer3/WoWjYhqDdMLGOgdP1HzBEOexMUoOHkxPkTh6NG3XUUrZzdq0FIkuFvggoixZksc0RZPg13kWkcNAxinVVPUsXw4SMiZck9bBHAcwwyPKDjfcEOPOO2cxm5NcSvOEHuFGtjOf4xk/t5/zxhvBiZ9Pcx5j40kAwcXMyTChLrLhdR7kt+AMHknlTThTFUWWuXPnTr2TYVjn4ImaL4TgPDRE6e7dExvDO3ci/f3pu5bN4U+jF/J4UmN4J2s5hf+37GIx5fbbM4zC9gkfz3NKlh+LcOZF/p5fBwgbE36PrIM5DmCGR1QcmprK+dAHZlF74uB4nvDf0cwH2c65HJgwSDnBcWonNIJ3sI5m1jJA9mWbg46Zk2FCXWRj0gayiLw1sV/S8wTnAp2BWBWQrq6u0Nf7zhXrHDxR84VgnaWry1lpLilNomTfPiSR5JbE2KJFHF7QSNO+Z/H7IacxfGD0XNT34QrOH4faWkUEurslv8ntPeLXeVbVR1K3icjDwM+Bz+Z9AAMw4ffIOpjjYIqHqQ7S1cVvvrSX335lH+cPbucimvkzzcwmPU1smHL2sHJCY3g7jTzDmaQPF0vGiZuJHOUweo2TMaEusjFVD/Kb3J8VSc/BOcPtOCswRZra2tqwFXLGOgdP1HzBJ+exMUpaWsYbwome4ZJnnknbNU4Je8ZnkbhwPEWi4+gZcBQmD9L5EWaPR8DXxingnCAPUEhM+D2yDuY4gBkeYTvc+M8lPHqX0si9bmqEM3vEmRzl5aRPY3OYJWm9wnu5gBFyS09IjZu9vb1UV1f7U6hpEnZdTMakDWRV/WsAEfmYqn64MEqFZXBwMPQLJFesc/BEzRem4XzqFKV79ow3hEt37KCsuRnp60vbdYDZPMmF4w3hx7mYZtYxRMzHEmTDrB4Pv66NDKuVzgZeBvws7y+7Bx6gAAAgAElEQVQ3BBN+j6yDOQ6meBTK4Yb3VfLLb7Qn5Qk308h2vsheyki/+9bHnLRBcztYxwmm04icOm4WU11MB085yInGsYicARMTWaI+D/JQhuUQTcc6B0/UfGFyZ+nunpAiUbpjB6VPPYWMjqbte5QGdzq1C3nCnVZt4mCOIJiYS1dSAmNj4TeGM+HjtZG6WukA8Bngbr8OEDYm/B5ZB3McwAyPIBw+/J4Rnvj2U0kD5nbwGXZQQ2/avs7dtwvSBs1Nb7ae9DzkujrllltOThk3Z2pd+IXXWSxeCtyJM4gkGTsPcghY5+CJmi+4zqqU/PnPE1IkSnfsoLS1NW3/MYQ9rExKkbiYJ7mQdgpdduWtbz3FbbeZO2F8Mj7OgzzjVys14ffIOpjjAGZ45OUwOkrJ009TunMnP7p5HzV/3uX2Crdk3P0Y9Wl5wrtY7dPdt/xiZ+TrImC8zmLxJWALcJeqRuOvmEdMnoMvG9Y5eCLhOzxM6d69443h8j/9idn79lHSm95jcZIY22lMS5E4SVUI4qd7PObNi/PJTw4Z1UM8FflcGyLyIi/7qepD0zqAYZjwe2QdzHEwxcOLww3vq+Sn3zgxoUd4HTtYzS4qOQVMHJg1xCx2sXq8EZxoEB9joY/mp2On117iyYhKXYSF1wZyLXCHO6n9jKIygJVhgsY6B49pvtLTk5Yiwa69lI2lB8dj1PM4F09YdW4fywNOkZiM7EG9vb2dhQv9/AMSPHleG1/3sI/izBIUeUz4PbIO5jiAGR6pDpesLqO2bc+ExvAt7ODrdGT8/EHOTssT3sdy4p6bVLngxE8/GsSpmFgXJuG1Nr8OXIOTZjGjiMUKMcjIX6xz8ITmq4ocOULZ9u3s+d4uDv9kJxfxJOdwKG3XMYS9rEhbda6NBoKcQSKDdNZ3SkrgLW/JfgswatcF5OesqjNmhgovmFC/1sEcBwjHo6mpnHe8YzaCcg4HWcduGvn+eK/wPvZlnFP4BDVpecLNrKUPPweVZY+fQTSKkzHhmjDBIRteG8jPBd4jIjcCbclvqOpf+W5VQLq7u40dQZkN6xw8hfD9wHvL+P03D0xYR+4inqCWbgAucR/gLAm6g3UTGsLbaZx08nf/SQ/kInDNNdPPgYvadQHRdA4LE86VdTDHIUiPV76yikceKR9/XcvxCavMbWUHa2lmDgNpnx2llF2sTGsMH2Yp/nU2+B8/88WEa8IEh2x4bSB/zX3MOObPnx+2Qs5Y5+DJx3fNmmqOHp04ErmaHhrZzkU8wcU8zkU8yefZySyG0z7fwYLxPOFEY/gpVgR0+y4bE4P5rFnwuc/5P+9w1K4L8M9ZRKqBm4AXAAtI+ks8U5aaNqF+rYM5DpC7R6L3N1tDtZxhVrKHdezgVrdHuJHtLOFIxv2fYVFanvAeVjLMrFyLMgUTY+gLXjDCj350unHe398f+gIZJlwTJjhkw+s0b3cFLRIWfX19oV+kuWKdg2cy33POqaGnJ1uvgrKEVl7u9gYnHueReTbEfZyfliIx9UpIQXA6mAfVGM5E1K4L8NX5S8AS4Gbg2zhLT/8L8EM/vtwETKhf62COQzaPyy6by549k42REEBZzJGkPGHn5yp2U076dJUDzKaZtRN6hXewji4W+FugcXKLoSbUh3WYHM9dUiKyELiU9J6OSOclDw+n9+CZjnUOhok9FfOm2FsoZZSV7Elp3j7BArrS9j5FRcYUCX9z2bIx9djasKZZi8J1kYqPzi8BVqlql4jEVfV/ReRPwI+B//DrIGFiQv1ah/AdFi+uYXAw0WzIFltPdwpU0c9ad1GN5AZxLSfSPjWGsI/z0wbNHeBcnwcmTx5HU3uIp6LYrwmTHLLhdR7kK3F6OPYBa4CdwFrgN/g0cE9ELgc+izOv8tdU9daU92cB3wKeBXQBr1HVQ+57HwQ2AnHgPap6v9fjmjwHXzas8/S44YYYd9451W20zD23c+gbT5FIpEmspXl8up9kuqgbbwQn0iT2cgGjlGf4Zj/JHMBzDdyFxITrIld8dC4Betzn/SJSg7NI9/l+HSCsuJrAhPq1DsE7pOb/ZiY9tpYQ53z2p/UKZ7vj1kVdWnrETtb4PF1l5jjqdyfCTL8mouSQDa89yB8DrlHVJhHpVtWLReQanMZy3ohIKfBF4MVAK/BHEblXVXcl7bYR6FbV80XktcAngdeIyGrgta7LmcAvRWSFqqav45gBk+fgy4Z1zszUt+lg6tQFZRFH3Tzh0/29y9mfce8DnDMhV/gJLqKVJR6OMx0m78HYsKGTO+4oZJ5y/hT5tfwkTv7xg8D/4aRc9ANP+fHlYcbVBCbUr3Xwx2FiL3AmJo959Ryb0AhuZDtr2EmM9JXUhilnF6snLK6xg3UcZdGUx/FG9li6aNEYO3emzyXvNzPhmpgpDtnw+tf0LFVtStl2F86MFjf44HEpsD+xbLWIfA+4AkgO5FfgDGgBuAf4goiIu/17qnoKOCgi+93v2+rlwCZPMZKNYnOeapDGRLwHz1JGWcFTaSkSZ2SY+3KYcppZm5Yi0TNlKkYuTN4AXrkyzu9+15f1/WPHjgNn+OgTPMV2Lafwdk5fsNcBn8C5//xmn74/tLiawIT6tQ5TO2QaWJyZqePrLIZYza60xnAD7Rn3b+GstNkjnmKFD3fcssfTM84YYc+ecO+qmX5NFJNDNrw2kI+JyEJVbQcOicjzgE78W2Z6MXA46XUr8Jxs+6jqqIj0APPd7b9P+ezitAIcO8bGjRspKysjHo9z1VVXsWnTJrq7uykpKaG0tJTe3l7q6+s5fvw4qkp9fT3t7e3jCeT9/f0sXLiQjo4ORIS6ujo6Ojqorq4mHo8zMDBAQ0MDbW1tlJeXU1NTQ2dnJzU1NQwPDzM4ODj+fkVFBXPnzqWrq4va2loGBwcZGhoaf7+yspJYLEZ3dzfz58+nr6+P4eFhGhoa6O52pgGrqKigp6eHBQsW0NPTw8jIyPjnq6qqjCpTd3c3qpq1TG1tbfzyl2fwL/+SbQ7f/HoNquhnHTsmpEisY0fG3otu5qWlSOxhJSNUTPPo3tbXWbFihHvu2TtpPR0+nL2eZs+eTUtLS6DXXltbG7FYzLdrLxaLcfjw4VB/n3ItU2VlJa2trRnL5AURWa2quxINVwBVPQa8LYeLyguhxdXEOTt16hQtLS2hxqATJ05QU1NT8Gs7uUzl5eW0tLSEem13d3fzi18s4D3vqcWfGKssoyUtT3g5+ygj/UZDL3PHB8olD5rLvZPBWzy97LJBvvjFpzLWk4jQ1VUV6t/0/v7+CZ8P6tqbrEyjo6NUVVWFGle9xIiwEC+L44nIB3B6In4oIm8G/hMYAz6tqpvzlhB5FXC5qr7Nff0m4Dmqem3SPs3uPq3u66dxgv1NwO9V9dvu9q8DP1PVe5KPsXXrVl25cmXasVtaWozt3s9GFJ0vuWQWBw54+U8x/9tnC2nLkCKReSL4QyxLS5H4M2fl4DH5748IfOUrhZkRIorXxUxy3rZt22Pr16+/JMNHJiAip4DtOHfhvquq6aM6fSDMuJrAhPotFgfvd9pyj7E1nHCbs6d7hdexg2rS72jFKeEpVkzoEd5OIy0sy+HY2eNqLKYcOdKT9X0vFMs1MRMcvMbVIPA6zdsnk55/S0QeBqpUdbdPHkeApUmvl7jbMu3TKiJlQA3OoBIvn83KggVBTfkSHKY6Tz1Qw9+83BLiLGdfWopEplt5I5SxnTUT9nySCzlB7SRHmPqfRz+CtV+Yel1MRpE6nwm8DngTcJuI/AynsfwTVU2fr2r6hBZXE5hQvzPNoampnH/6p9mMjfl/p62MEVbwVNqguWX8OeP+bSxMyxPezSqGmKozJL90snyZadeEdQiGaY3oUdXMvy3T54/AchE5BycIvxZ4fco+9wJX4+TAvQp4SFVVRO4FviMin8H5w7Mc+IPXA/f09FBV5ecI2OAJ23nyhnAw8/fGOJmWItHIdmaTPqq4h+oJDeHHuZjdrMowEbwyWaCuqVEOHjSj8euFsK+L6VCMzm6P8Rdw8n0vwGko/wfwVTdP+Fuq+kcfVEOLqwlMqN8oO2SPtfnGWWcwcmqe8Cp2Z1y8aJBKdrImbSq1jqxjHiZvAN9xR2HuqmUjyteEdSgcXqd5O0yWK96PFZ/c3Ldrgftx8prvVNWdInIz8CdVvRf4OnC3O1jkOE6wx93vBzgDT0aBTbmMtB4ZCe+XdLoUyjmMhjA4o51TUyRW8BSljKXt+2eWpq06d4izSUwsP5GJrycbrWzCradcsddyYfDTWVX3Ah8GPiwiL8ZJX3sXPozvCDOuJjChfqPg0NRUzrXXzmZkxP9e4dkMsIad443gRIM403ztAE9zbtqguf2cnzKnsKb8nIjpsTUK14R1CB+vPchvTHm9CGfU9ff8ElHV+4D7UrZ9JOn5ELAhy2c/Dnx8Osc1eQ6+bPjt3NRUzj//82xOnvQ/OE+GMMb57E9LkTiTo2n7jlLK9vGFNi4cT5E4TrZlKjWveSvtdVEYrDOIyHNxZq54Nc68yDf79d1hxdUEJtSvaQ7Z421+sVYY41wOpA2aO4+nM46/6GZeWo9wM2vpZy6ZG76nt+WTWmZafVgH65ANrznIj6Ruc/OQf44zCX1kMXkOvmzk45x9sYxglzauZJC1NKelSMwhfaqdXubyJBeON4Sf4CJ2soZTVAKp+WnpKyv5QbFdF2FRrM4isgwnteJNwEKcKdZeqar/l7+hOZhQv2E6BBVv6+hKyxNeSzNVnEzbd4QydrIybYGNI+mTkrjk17kwFcV+TVgH8xyykc+qAqeAc/wSCQtTc18mw6vzDTfE+MY3ZpE+UUmwjeEFdKT1Cq9kT8YUiVYWj/cKJ9IkDnIOSklKQ3jIfRSGmXxdmEQxOovII8DzgF8B/wb8SFULv853ATChfgvpkLlBPP14W8EpVrInrTG8mGcy7t/K4qRGsDPXxGRTVAY9GC4TxXZNWAfzHbLhNQc59ZbfbOBlwM98NyowpaV+rtVeGBLOTU3l3HjjbLq7p7+6UT4kbumlNoaXZBjsHqeEZncWiWfqG/mnO5YTX7uWqgULeD7w/Al7B7+K0VRE+bqIEkXqfB/welXNeVaIqGFC/frtkL3jIcF0Yq6ylMNpecIXsJdy0ic26aeKZta6jeG1443iburG9znd+D0JnKS7u5va2slm7SkMM/GasA7RdsiG1x7kpSmvB4DPAHf7q1N4ent7jQgaXmlqKuf97z+Lnp7ERRVsb3CCWQyxhp0TGsIX8mTGeTD7qWI7F1LzgjWcfeVq4uvWcbCqirMuuGD8pp6fc1kFQdSuC7DOhSJf5+RpM2c6JtSvHw7pnRHTj7tz6WUtzWm9wvNIz+kdQ9jLiqQ8YacxnLjLBvCCF4zwPz9KpKplTzkzoS5M8bAO1sELXnOQrwlaJCzq6+vDVpgSP4OzF+roSusVXsXujKsjPcMiRteuo/7Fa4ivW0d83TrGzjmHVSVO8E5MGLTgZHpunMlE4bpIxToXhig6h4UJ52q6DvnG3VJGWc6+tKnUzuFQxv07WJCUJ+w0hHexmkFmAzBrFnzucwPcuWGE6dxlM6EuwAwP62AdvDBlA1lESnHmznwJUI+zxPSvgO/MhLy548ePM3v27LA1xsmeNhFEo1g5h4NpjeGzJqxO6zCGEF++nHhjI6Pr1hFfu5b42rXEznDmwZwqO9i08zwVUfMF61woougcFiacKy8O+cbdM2hP6xFew04qOZW27ykq2MmatF7hdhYCMt4Q/vSGEZwuhvR5iaeDCXVhiod1sA5emLSBLCLVwC+Ac3Hy5h7HmeLtE8D17rydZcBlqvqDgF0DwctS24XCmQuzKstcmPlRwSlWs2vCLBIX8iQ1GXoiTpXNpvQiJzVivDG8ahXktzhCPvoFJ2q+YJ0LRRSdw8KEczWVQy5xt5JBVrMrbSq1M+jIuP8hlqUNmnuKFcTdP70icM01p/j+bYOQIcXCT0yoCzDDwzpYBy9M1YN8C86yo+tVdXw+LhGZA3wf+A5wHvChwAwDxpTu/aamct71riri8fwbx/Po5kKenLDYxmp2ZRzsMVZfP54aMbp2LfHGRsbOPRd8Tpw35Tx7JWq+YJ0LRT7OIvIiL/up6kPTPohBmFC/Uzl88IPpC3QIY5zNobRe4eXsyzgbTw/VaYtrNLOGXmqc73Mbwr+9bRDo961suWBCXYAZHtbBOnhhqgbyK4HnJjeOAVS1X0Q2AQeAa1T1v4ISDJr29vbQ5+A7PSo618axsoyW8QWVL+JJLuIJzqYlfU8R4uedP7FXeN06dOFCfwoxBSac51yImi9Y50KRp/PXU14vxlmBoQuYj3NPvxXnrl3kMaF+szkk0iq0+wR/mTJobi3NzM3QkB2llJ2sTusV/jNnkZyOUVWlfOYzJ9mwwRk0Z8LqcSbUhSke1sE6eGGqBnINZJizy6EVOKWqd/mrVFjmzJkT6vGbmso9NY7LGWYVu9NSJGozjFrWykriq1NSJFavhhDLGvZ5zpWo+YJ1LhT5OKvq+NzxIvIhnEbxZlU9KSKzcVbRy7wGcAQxoX7HHYaHKdm/n9Jdu9j/w92c9cBenhzbzlJaM37uGRal9QrvYSWncOY5rqtTbrnlJHdvGGGq9AijzkPImOBhHayDF6ZqID8NvAh4IMN764H9vhsVEYm0itTGcTU9aSkSa9hJBelrlo/Nn386RSIxi8R550FZPmvAWCyWAvDPwJmqOgLgNpI/CDyDk95mmQ6qyNGjlO7cSenu3Szcto3Y/v2U7tuHjDgx9KKk3U8So5m1ExrDO1hHJ8m3fp08ybo65XO3DLBhQ3ostlgsM4upWlGfAb4lItfirPY0JiIlwFXA54lw7nGC/v5+5s+fX/DjNjWVc/11szkzfjhtFolzOZjxM0+XnI9ctJbKy5Yw9y//kvjatWhDg5PgZjhhnefpEjVfsM6FwkfnAeBS4LdJ254NGdYLjiiB129/P6W7d1O6a9fpx86dlJzIcGdNhJ76c3m460KeGFs3PqXaAc5ljNQxF0pyo/iWW07m1Sg24To3wcEUD+tgHbwwaQNZVb8pIvOBbwLfFZFOYAHOMtM3q+o3glcMloUFysFlZISSffso27GDp3+4k/N/uYvDPMF8jqftOsQsdrCOOX+xhmV/v8YZPLdmDXVz5zrvDw0xWllZGG+fKNh59omo+YJ1LhQ+Om8Gfi4iPwYO4yzI9HJgk18HCBvfzlU8TsnBg06vcHJj+GDmzoSx2lonzWzNGoaWL6fkwgu5Z/c6/vG9C4mPTd6hEIspt9/uby+xCde5CQ5ghod1sA5emPI+vKp+WkT+E7gMp3HcCWxV1fDXA/aBjo4Oli5NXSgwT3p7Kdu5k9IdO5xHczOlu3cjw858lo1Ju3ZRx+NcPKEPeS8X8Oa3xrnttsEMs2gG5BwwUXOOmi9Y50Lhl7Oq3i0ijwH/AJwJ7AE+pqq78v5yQ5jOuZLOzvGe4PGG8J49yGD6tPtaXk58xQria9Y4DWL3oYsWjd9ZO3z4ML///blcf+NUswSpL73FmTDhOjfBwRQP62AdvOB1Jb0+4P6AXUJB8klPUEWeeYay5uaJjeEsvRrxs8/m/vaL2Tp48Xij+AiLSR79XFqqfOlLk/de5OUcElFzjpovWOdC4aezqu4SkT3AQlU96tsXG8Kk52poiNKnnjrdGHZzhkva2zPuPrZ4MfHVqxlNagyPLV8O5eVTOmzZEmNwMLuLl7ibDyZc5yY4gBke1sE6eKHoR3LV1dV523F01EmRSGkMl3SlDzjXigriq1aNT6UWX7eO0TVroLqal8+fh2ZZncnrrT3PzgYRNeeo+YJ1LhR+OYvIPOBLwKuAEaBKRP4euFRVP+zLQUJmwrkaHaXys589nSf89NNIPH35ep0zx4mfbopEfM0a4qtWofPmTdvhyJGSrO8HkVKRySFsTHAAMzysg3XwQtE3kDs6OtLn4Ovvp3TnTsqSe4V37UJOpSc8jM2b5zSCkxrD8eXLoaIi4/EWLx6jtTV9EY7SUu9BOqOz4UTNOWq+YJ0LhY/OXwG6gWVAIq1iK/BpYEY0kCecq7IyZt1xByWdnQBoSYmzfH2iIez+HFu6FEqyN2in47B4cUPecTdfh7CvcxMcTPGwDtbBC8XdQFaldnCQsgcemNAYLjlwAMmw/GH8rLMmNIZHGxvRxYtzmkVi8+ZBrr++asLtvlx7MKqrqz0fzxSi5hw1X7DOhcJH5/W407yJiAKoaoeInOHXAcIm9VwNfeADaCzmNIYvuABisYI4+BF383UIGxMcwAwP62AdvOC5gezOZvEyYJGqfkpEzgRKVDXzLOvev7cOZ9nqs4FDwKtVtTvDfldzulflY4kFSkTk48CbgVpV9TzjdMVddxH7+MepdXszktHyckZXrpzYK7x2LVpTk2Pp0nGC8QBbtsQ4cqSExYvH2Lx5MKcgHc9wW9J0ouYcNV+wzoXCR+cenIHP47nHInJW8uvpElZcTSX1XJ3auHG6XzVt4vG4L3E3X4ewMcEBzPCwDtbBC57uY4nIC4C9wBtwpiYCWA582QeHG4EHVXU58KD7OvX4dcBHgefgzBv6URGpdd/+sbstJ7SqipLOTuJz5jDy/Ocz9I53MPCFL9D7yCOcOHyYvkce4eQXv8ipd76T0ec/35fGcYING0bYvr2Xrq4TbN/em3OQHhgYmHonw4iac9R8wToXCh+dvwb8UET+GigRkecBd+GkXuRLKHE1FRPqN+GQb9z1wyFMTHAAMzysg3Xwgtce5NuB16jqgyKS6IV4FB8CKHAF8EL3+V3Aw8AHUvZ5KfCAqh4HEJEHgMuB76rq791tOR105CUvoefxxxlcuJBZEZtTuKGhIWyFnImac9R8wToXCh+dPwkMAl8EyoE7gTuAz/rw3aHE1VRMqF/rYI4DmOFhHayDF7yOhDhbVR90nyeSc4fxJ4c5eXqjNiDTrNGLcSbST9Dqbps+1dWMLVtGW5YphYKgqamcxsZq5s+fR2NjNU1Nk09PlI22tjafzYInas5R8wXrXCj8cBaRUuAa4CuqulpVq1R1larerpphAETuhBNXUzChfu+8c8iXuJsPJpwHExzADA/rYB284LWBu0tEXqqqyXMh/w2ww8uHReSXQKZ/E/41+YWqamKwit8cO3aMjRs3UlZWRjwe56qrrmLTpk309fXR2dlJaWkpvb291NfXc/z4cVSV+vp62tvbmTPHScHr7+9n4cKFdHR0ICLU1dXR0dFBdXU18XicgYEBGhoaaGtro7y8nJqaGjo7O6mpqeGHP5zF5s01DA05/5O0tpZy/fWz6ez8M294gzA4OMjQ0ND45ysrK4nFYnR3dzN//nz6+voYHh6moaGBvr4+jh07RkVFBT09PSxYsICenh5GRkbGP19VVRV4mYaHhxkcHBx/v6Kigrlz59LV1UVtbe2EMvX19dHe3p61TG1tbcRiMWPKJCK0tLRMWqap6qnQZUo451NPhS4TOAs5BHnt+V0mVaW1tTVjmbyiqnER+Yyq3jndmGZyXE2cs5GREVpaWkKLQT/4QRk337yUU6ecGSyS4+6b3lRasN9XVaWlpSXUa7uvr4+BgYHQ/1b09fVx9OjRUGPQ8PAwXV1dBfv7l6lMg4ODtLS0hPr37+TJkwwMDIQaV73EiLAQL50VIvJc4CfAT4FXA98CXgFcoap/zEtAZC/wQlU9KiKLgIdV9YKUfV7n7vMO9/Ud7n7fTdqnf7LBJFu3btWVK1embR8YGKCqqiqfIniisbE64zRDS5bE2b49t0UJC+XsJ1FzjpovWOdCkc1527Ztj61fv/4Sr98jIncDP1DVH/vp5353qHE1Qdj162fczYewz4MpDqZ4WIfoOOQaV/3EU4qFm492IbATJ0/uIM5k9nk1jl3uBa52n18N/G+Gfe4HXiIite4gkpfg08p+nRlmsQiCbBPVTzaBfTYK5ewnUXOOmi9Y50Lho3MlcI+IPCwid4vItxIPH7471LiaIOz69TPu5kPY58EUBzDDwzpYBy94jhKqekRVP6Wqm1T11nynd0viVuDFIrIPJ23jVgARuUREvuYe+ziwBfij+7g5aWDJp0SkFZgtIq0iclMuB6/xcXaKTCTyjrN11C9ePJbzdwbtHARRc46aL1jnQuGjczPwCeBXwH7g6aRHvoQaVxOEWb9NTeVZ1xuZTtzNBxOucxMcwAwP62AdvJA1B9m9/Tdl/oWqvjkfAVXtwpkwP3X7n4C3Jb2+E6f3OnW/9wPvn+7xh4eHp/vRKWlqKk+bnD6ZWEzZvHkw5+8N0jkoouYcNV+wzoXCL2dV/Tdfvijzd4caVxOEVb+J2BuPp8fe6cbdfDDhOjfBAczwsA7WwQuTDdLbXzCLEBkcDC5QbtkSy9I4VpYsmf5E9UE6B0XUnKPmC9a5UPjpLCIvBl4LnKGqrxCRS4BqVX3It4OESFj1my32Fmpp6VRMuM5NcAAzPKyDdfBC1gZykL0bJhHkHHzZ8txEyGuAiMnzBmYjas5R8wXrXCj8chaRdwPX4SwY8ip38yDwOeAyXw4SMmHVb7bYOzZGwRvHYMZ1boIDmOFhHayDFzznIIvIi0TkqyLyU/dn2u27KBLEHHxB5B0nY/K8gdmImnPUfME6Fwofna8H/kZVbwUSQWEPcEH2j0SLQtdv0LF3uphwnZvgAGZ4WAfr4AWvS02/D/gecBxnqrcu4Dvu9khTUVHh6/clct+cqYWCyX/z27kQRM05ar5gnQuFj85zOb1QR6JJV46zCNOMoJD1W4jYO11MuM5NcAAzPKyDdfCC14VC3gu8SFWbExvcQXwPAJ8OQqxQzJ0719fvCyrvOBm/nQtB1Jyj5gvWuVD46Pxr4Ebg40nb3oMzq8WMoJD1W4jYO11MuM5NcAAzPKyDdfBCLpNBpg7aO4CHWbrmfigAACAASURBVC5Mp6ury9fvmyrv2I8A7bdzIYiac9R8wToXCh+d3w28UkQOAXPdxT1ejdMhMSMoZP0WIvZOFxOucxMcwAwP62AdvOC1gXwT8HURWS4iMRFZAfwn8FERKUk8ArMMkNraWl+/L1uOm5+5b347F4KoOUfNF6xzofDLWVWPAs8GXgO8HmdBj0tV1dykvBwpZP1mi7FnnhkvmEM2TLjOTXAAMzysg3XwgtdG7R3A64C9QD/OQJI34DSSR4BR92fk8HuKkc2bB4nFJnas+537ZvK0KNmImnPUfME6Fwo/ndXhUVVtUtXfq2o4o8gCopD1my32Xndde8EcsmHCdW6CA5jhYR2sgxe85iCfE6hFiAwNDfn6fc5tvAG2bIlx5EgJixf7n/vmt3MhiJpz1HzBOheKfJxF5DDeFmA6a9oHMYhC1m+22HvppR3AsoJ5ZMKE69wEBzDDwzpYBy94aiCrakvQImERxBx8GzaMBJrvZvK8gdmImnPUfME6F4o8nd+Y9PzZOGkVnwNacFpx1wLfyucAJlHo+s0Ue0+dCv8aM+E6N8EBzPCwDtbBC16neasRkc0i8t8i8ovkR9CCQWPyHHzZsM7BEzVfsM6FIh9nVX0k8QDeAlyuql9V1V+o6leBvwOu8cc0fEyoX+tgjgOY4WEdrIMXvKZYNAGlwI9wVnqaMVRWVoatkDPWOXii5gvWuVD46HwmzpiOZPqBxX4dIGxMqF/rYI4DmOFhHayDF7w2kJ8LLFDVGTOBfYJYLBa2Qs5Y5+CJmi9Y50Lho/O9wL0i8jGgFVgKfNDdPiMwoX6tgzkOYIaHdbAOXvA6i8VvgJVBioRFd3d32Ao5Y52DJ2q+YJ0LhY/O7wS2Al8BtgFfBh51t88ITKhf62COA5jhYR2sgxe89iC/BbhPRB4FJsyZo6o3+y1VSObPnx+2Qs5Y5+CJmi9Y50Lhh7OIlOLMfXyTqt6Y9xcaign1ax3McQAzPKyDdfCC1x7kj+Pc/lsILE96nB+QV8Ho6+sLWyFnrHPwRM0XrHOh8MNZVePAZ1TV3DmOfMCE+rUO5jiAGR7WwTp4wWsP8muBFe7KTzOK4eHopVVb5+CJmi9Y50Lho/OPReQVqvpjv77QNEyoX+tgjgOY4WEdrIMXvDaQDxDRlfKmwuQ5+LJhnYMnar5gnQuFj86VwD0ishWYsICIqr7Zr4OEiQn1ax3McQAzPKyDdfCC1xSLu3FGW79ORF6U/AhSrhCYPAdfNqxz8ETNF6xzofDRuRn4BPArYD/wdNJjRmBC/VoHcxzADA/rYB284LUHeZP78xMp2xU4Nx8BEakDvg+cDRwCXq2qacMaReRq4MPuy4+p6l0iMhtnjubzgDjw41wHvJg8xUg2rHPwRM0XrHOh8MtZVf/Nly/KQNhxNYEJ9WsdzHEAMzysg3XwgqceZFU9J8sjr8axy43Ag6q6HHjQfT0BN9h/FHgOcCnwURGpdd++TVVXAhcDzxeRv83l4BUVFfm4h4J1Dp6o+YJ1LhR+OItImYi8RUT+S0Tud39eIyLlPihCyHE1gQn1ax3McQAzPKyDdfCC1xSLILkCuMt9fhdwZYZ9Xgo8oKrH3V6QB3CWaD2pqr8CcBcx2QYsyeXgPT090xYPC+scPFHzBetcKPJ1FpEa4HfAp3DGdmxzf94K/M59P19CjasJTKhf62COA5jhYR2sgxc8pViISDVwE/ACYAEgifdU9aw8HRYmzY7RhjOVXCqLcQaxJGglZTlWEZkHvAL4bKaDHDt2jI0bN1JWVkY8Hueqq65i06ZNjIyM0NnZSWlpKb29vdTX13P8+HFUlfr6etrb25kzZw4A/f39LFy4kI6ODkSEuro6Ojo6qK6uJh6PMzAwQENDA21tbZSXl1NTU0NnZyc1NTUMDw8zODg4/n5FRQVz586lq6uL2tpaBgcHGRoaGn+/srKSWCxGd3c38+f///bOPUyuqszX749OmjS5X3pyIYCgKDocBh0GQeeMOFHAy2gGDBMHHVCYEWUccWRUZCJKYAyjRzI+6oAyXBQelMsR8TYQCByQk6iQA1GQOzYJSTpJdzqXpkna8J0/1qr0TqWqa3d3Ve297e99nnq6al/ftVbVt1evvfZa09m+fTu7du1i1qxZ9Pf3s3HjRlpbW9m6dSszZsxg69at9Pf379l//PjxuUpTf38/nZ2dVdO0YcMG2tracpOmyZMn09HRMaJyanaaSs6N/O7VO00TJ05kzZo1mf6ehpqmCRMmsHbt2oppSsmXgE3AW82sNxHDJhC6RXwJ+NhQDliBTONqKc9aW1vp6OjINAb19/ezc+fOTH+vEyZMoKOjI9Pvdn9/P729vZlfK/r7+1m/fn2mMWjs2LF0dXVlek0H6OjoyPT6Z2b09vZmGlfTxIiskJnV3ki6ntCCcDlwPfAB4F+AW83s8hT73wVUelTxQuA6M5uS2HaLmU1NbiTpfGCcmV0SPy8C+szsK/HzGOBHwB1mtrSSw4oVK+yII/adDHDdunXMmTOnVhJyhTs3nqL5gjs3i2rOq1atemjevHnH1Npf0jrgODN7vsK6VwArzGx2iuPkNq6WyEP5ukN+HPLi4Q7FcUgbVxtB2of0TgRea2Zdknab2Q8lPUgInjUryGb2tmrrJHVKmm1m6yXNBjZW2OwF4ITE57nAvYnP3wKeqhbEB6O/v3ij17lz4ymaL7hzs6iD82RCTKvEWmBSmoPkOa6WyEP5ukN+HCAfHu7gDmlI2wd5P6DUUWRH7CO3nvrMpHc7cEZ8fwbwwwrb3AGcKGlqfIjkxLgMSZcQLjjnDefkeR6Drxru3HiK5gvu3Czq4PwMUG2IzHmEcedHSqZxtUQeytcd8uMA+fBwB3dIQ9oK8iOE/scA9wPfBP4TeLIODkuAt0t6Cnhb/IykYyRdBWBm3cBi4FfxdbGZdUuaS7id+DpglaSHJZ09lJPneQy+arhz4ymaL7hzs6iD81eB70g6VdJ+AJL2k/Q+4Nq4fqRkGldL5KF83SE/DpAPD3dwhzSk7WLx9ww8mPcJwkMkU4ARz/ZkZl2EVpPy5Q8CZyc+Xw1cXbbN2oTXsBg/fvxIds8Ed248RfMFd24WI3U2s2slTSdUhm+UtJnw8PNOQiX1mpE6Zh1XS+ShfN0hPw6QDw93cIc0pKogm9mzifcbgbMaZtRkWlpaslYYMu7ceIrmC+7cLOrhbGb/S9K3gDcRKsebCQ/nbRvxwXNEHsrXHfLjAPnwcAd3SMOgXSwk/amkIxOf2+OA9o9IuiIOS1Rotm0r3vXInRtP0XzBnZtFvZzNbLuZ3WFmN8S/xcuMGuShfN0hPw6QDw93cIc01OqDvJS9hxG6Cng14enmIwkD3Rea9vb2uhzn5pvHctRRk5g+fQpHHTWJm2+u14RY+1Iv52ZSNOei+YI7N4siOmdFM/KqVuzNQ3m5wwB58HAHd0hDrQryawkP5ZUGjH8HcLqZfQN4P2EA+ULT3d094mPcfPNYzjtvPGvXtmAm1q5t4bzzxjesklwP52ZTNOei+YI7N4siOmdFo/MqTezNQ3m5wwB58HAHd0hDrQryGGBXfH8csMHMngQwszWEB/UKTZqJUsopb7G44IID6Ovb+5mWvj6xeHFbvTT3YjjOWVM056L5gjs3iyI6Z0W982o4sTcP5eUOA+TBwx3cIQ21HtJ7FFgA3AQsBO4qrZB0IANjIxeWoTbvl1osSkF57doWoHIBv/BC2lH0hkaeb0lUo2jORfMFd24WRXTOinrm1XBjbx7Kyx0GyIOHO7hDGmrV4D4DXCmpG3gXcFli3d8ADzRKrFl0dnZWXVepb9vixW37tFhUGxHpwANfrqPpAIM555WiORfNF9y5WRTROSuGm1f1jL15KC93GCAPHu7gDmkYtAXZzH4u6WDCg3lPmtn2xOqfAN9rpFwzmDCh8kAclVorwudqRzKSwbqtzVi0qOrGI6Kac54pmnPRfMGdm0URnbNiOHlV79ibh/JyhwHy4OEO7pCGmn0A4lBED5VVjjGzJ8xsXePUsqVSa0Vfn6g2ZN/UqcbcubuRwt+lS3tZsCC/c4w7juPkEY+9juPkgcZ0ki0QO3bsqLi8Wv/h3btDC0WStjZjyZIXWb16G11dPaxeva2hAbqac54pmnPRfMGdm0URnbNiOHlV79ibh/JyhwHy4OEO7pCGUV9BnjlzZsXl1foPz537MkuX9mbaYlHNOc8UzblovuDOzaKIzlkxnLyqd+zNQ3m5wwB58HAHd0jDqK8gb9q0qeLyRYv6KrZWLFrUx4IF/U1rLa5ENec8UzTnovmCOzeLIjpnxXDyqt6xNw/l5Q4D5MHDHdwhDaO+gixVfgp6wYL+zFuKq1HNOc8UzblovuDOzaKIzlkxnLyqd+zNQ3m5wwB58HAHd0hDrXGQ/+CZNm1a1XULFvTnokJczmDOeaVozkXzBXduFkV0zorh5lU9Y28eyssdBsiDhzu4QxpGbQtyaZzNgw6as2eczaKQ51sS1Siac9F8wZ2bRRGdsyKZV5XGNm62Q1a4wwB58HAHd0jDqGxBrjbOJuSjC0UtJk2alLXCkCmac9F8wZ2bRRGds6KUV1nG3DyUlzsMkAcPd3CHNIzKFuRq42wuXtyWkdHQ2L17d9YKQ6ZozkXzBXduFkV0zopSXmUZc/NQXu4wQB483MEd0jAqK8jVxtmstjxv9Pb2Zq0wZIrmXDRfcOdmUUTnrCjlVZYxNw/l5Q4D5MHDHdwhDZnXCCVNk7RM0lPx79Qq250Rt3lK0hmJ5f8t6RFJj0q6QlKV+ZYGqDbOZrXleWPWrFlZKwyZojkXzRfcuVkUxTmL2FpOKa+yjLl5KC93GCAPHu7gDmnIvIIMfBa428wOB+6On/dC0jTgIuCNwLHARYlgf5qZ/QlwJNAOLKh1wsHG2SwCGzZsyFphyBTNuWi+4M7NokDOTY+t5ZTyKsuYm4fycocB8uDhDu6QhjxUkN8LXBffXwfMr7DNScAyM+s2sy3AMuBkADPbFrcZA7QCVmH/vUiOswn5GuM4DbfddlvWCkOmaM5F8wV3bhYFcm56bC2nlFdZjiufh/JyhwHy4OEO7pCGPIxiMdPM1sf3G4BK8w4eCKxJfF4blwEg6Q5C68fPgFsqnWTjxo2cddZZjBkzht27d3PKKafwq1+dy5IlSzj33HNpaWmho2Mb7e3tdHd3Y2a0t7fT2dnJhAkTgDBn+MyZM9m0aROSmDZtGps2bWLSpEns3r2b3t5eZs2axYYNGxg7diyTJ09m8+bNTJ48mV27dtHX17dnfWtrKxMnTqSrq4upU6fS19fHSy+9tGf9uHHjaGtrY8uWLUyfPp3t27eza9cuZs2aRU9PDxs3bqS1tZWtW7cyY8YMtm7dSn9//579x48fT0tLC9u25SNNPT09dHZ2Vk3Thg0baGtry02ali1bxvz580dUTs1OU8m5kd+9eqdp+fLlnHLKKZn+noaapvvuu49TTz21YppyRsNja6W4eu655+7Js9WrV9PR0UF7ezvHH9/NT36yd551dTU+BvX09LBz585Mf6/33Xcf8+fPz/S73dPTQ29vb+bXip6eHtavX59pDHrsscfo6urK9Jq+Zs0aOjo6Mr3+rVu3jt7e3kzjajJGVEtTVshsyI0CQz+JdBdQqaPJhcB1ZjYlse0WM9urr5yk84FxZnZJ/LwI6DOzryS2GQfcAFxhZsvKT7RixQo74ogj9hF485vfzAMPPDC8hGWEOzeeovmCOzeLas6rVq16aN68ecc00yXr2FotrpbIQ/m6Q34c8uLhDsVxyCKulmhKBXlQAekJ4AQzWy9pNnCvmb2mbJv3x20+Ej9fGbe7sWy7vwOONbN/LD/P3XffvQnoKF/e3d09Y9q0aZvrl6LG486Np2i+4M7NYhDnQ+bNm9fedKEqNCO2VourJfJQvu6QH4e8eLhDoRwyi6t5qCB/GegysyWSPgtMM7NPl20zDXgIeENctAr4U2AXMDFeAMYQWjnuN7OvNy8FjuM4+cNjq+M4zvDJQwV5OnATcDChJeI0M+uWdAxwjpmdHbf7MPC5uNulZnaNpJnAj4H9CQ8c3gN80sx+3+x0OI7j5AmPrY7jOMMn8wqy4ziO4ziO4+SJPAzz5jiO4ziO4zi5wSvIgKTFklZLeljSnZLmZO1UC0lflvR49P6BpCm198oOSQvijFwvx1u8uUXSyZKekPR07LuZayRdLWmjpN9k7ZIGSQdJukfSY/E78YmsnWohaZykXyZmlvti1k55Ie1vu9rvStKhkn4Rl39fUuswHGrOGijprTHGl14vSZof110r6bnEuqMb4RC32504z+2J5c3Kh6MlrYhltlrS3yTWDTsfasVNSfvHdD0d0/mKxLoL4vInJJ001HQPweGfY9xZLeluSYck1lUslwY4nClpU+JcZyfWVZzVsgEOlyfO/6SknsS6euXDoNclBb4WHVdLekNiXV3yYcSY2ah/AZMS7/+JMJxR5l41nE8ExsT3lwGXZe1Uw/e1wGuAe4FjsvYZxLMFeAY4jDA5wiPA67L2quH8F4SHrH6TtUtK39nAG+L7icCTBchjARPi+7HAL4DjsvbKwyvNb3uw3xWhn/TC+P4K4KPDcPh34LPx/WdrxUNgGtANHBA/Xwu8b4T5kMoB2FFleVPyAXg1cHh8PwdYD0wZST6kiZvAx0rXVmAh8P34/nVx+/2BQ+NxWhrk8NZEmX+05DBYuTTA4Uzg61W+k8/Gv1Pj+6mNcCjb/uPA1fXMh3icQa9LwDsJ46sLOA74RT3zoR4vb0FmrxmjAMYzjBmjmo2Z3WkDD8ysBOZm6VMLM/utmT2RtUcKjgWeNrNnzWwX8D3CjGS5xczuI1zsC4GZrTezVfH9duC3JCanyCMW2BE/jo2v3MeJZpDyt13xdyVJwF8yMAlJtRn/apFm1sAk7wN+ZmYvDuNc9XLYQzPzwcyeNLOn4vt1wEbCVOIjIU3cTLrdAsyL6X4v8D0z22lmzwFPx+PV3cHM7kmUeSOumyO5flSd1bLBDu8Hbhxk/bBIcV16L/CdGFtXAlMUhqOsVz6MGK8gRyRdKmkNcDrw+ax9hsiHCf+JOSNn0JnFnPoSb7O+ntAim2sktUh6mFChWGZmuXfOEdV+V9OBnsQ/+8P9vaWZNTDJQvatFFwab/VeLmn/BjqMk/SgpJWlLh5klA+SjiW0Mj6TWDycfEgTN/dsE9O5lZDuesXcoR7nLPa+blYql0Y5nBrz+BZJBw1x33o5ELuYHAosTyyuRz6koZpnbq7BeZhquilokBmnzOyHZnYhcKGkC4B/BC5qqmAFajnHbS4Efk8YpzRT0vg6TglJE4BbgfPK7uLkEjPbDRyt0N//B5KONLNC9PseKXn4bQ/mkPxgZiapaut+bKX6H8AdicUXECqUrcC3gM8AFzfI4RAze0HSYcBySb8mVBZTUed8+C5whpm9HBenyoeiI+kDwDHAWxKL9ykXM3um8hFGxI+AG81sp6SPEFrV/7IB50nDQuCWGNtKNCsfcs+oqSCb2dtSbnoD8FNyUEGu5SzpTODdwDyLnXeyZAh5nGdeAA5KfJ4blzl1RNJYQuX4BjP731n7DAUz65F0D+G236ioINfht13td9VFuLU6JrYqVv29DeYgqVPSbBuYNXDjIC6nAT8ws/7EsUutrjslXQOc3ygHM3sh/n1W0r2EOyi30sR8kDQJ+AnhH5yViWOnyocKpImbpW3WKkw+M5lQ/vWKuamOI+lthH8m3mJmO0vLq5TLUCuGNR3MrCvx8SpCv/HSvieU7XvvEM+fyiHBQuDcMr965EMaqnnWKx9GjHexACQdnvj4XuDxrFzSIulk4NPAe+rcj2608yvgcIUnylsJAWTYT/I6+xL7Hf4X8Fsz+2rWPmmQ1B5bjpHUBrydAsSJHFHxdxX/sb+H0CcY4AxgOC3St8d90xxjnz6XsTJZ+m7OZ3j/+NR0kDS11G1B0gzgzcBjzcyHmP8/IPT/vKVs3XDzIU3cTLq9D1ge0307sFBhlItDgcOBX6Y875AcJL0euJJw3dyYWF6xXBrkMDvx8T2EZzAg3NE4MbpMJTyIn7zLUTeH6HEE4SG4FYll9cqHNNwO/J0CxwFb4z9o9cqHkVPrKb7R8CL89/4bYDXh9seBWTulcH6a0E/n4fjK9cgbwF8T+hLtBDqBO7J2GsT1nYSRFZ4htLBk7lTD90bCk+j9MY/Pytqphu+fEx5wW534/r4za68azkcB/y86/wb4fNZOeXlV+20TRkj4aWK7ir8rwtP2v4wx7WZg/2E4TAfuBp4C7iJMqw3hNvpVie1eQWih2q9s/+XAr2PZXk8csaTeDsCb4nkeiX/PSuzflHwAPhBjxcOJ19EjzYdK5UvonvGe+H5cTNfTMZ2HJfa9MO73BPCOEXwXazncFb+jpXTfXqtcGuDwJeDReK57gCMS+3445s/TwIca5RA/fwFYUrZfPfNhn+sScA5hFk8Io1d8Izr+msQIOPXKh5G+fCY9x3Ecx3Ecx0ngXSwcx3Ecx3EcJ4FXkB3HcRzHcRwngVeQHcdxHMdxHCeBV5Adx3Ecx3EcJ4FXkB3HcRzHcRwngVeQnWEh6QuSrs/aoxKSDpa0Q1LLCI9zr6Sz6+XVaCRdIWlRfH+CpLVZOzmOMzQ8tuYHSadLujPx2SS9Kksnp3l4BdmpSAyCpdfLkvoSn0/P2i+JpN/F2ZEAMLPnzWyC7T19ZiPO+zpJt0vaKmm7pOVxwPOGI+lMST9PLjOzc8xscTPO7zjO8PDYmk8kvSJWgPfMMGxmN5jZiVl6OdnhFWSnIjEITjCzCcDzwF8llt3QLI9ksMoTkl4JPEAY4PxQwqQItwHLJB2bpZvjOPnFY6vjFAOvIDsjoVXSd2Lr6aOSjimtkDRH0q2SNkl6TtI/JdbtL2mppHXxtTQxveUJktZK+oykDcA1cfm7JT0sqUfS/5V0VFz+XeBg4EexBebT5S0BkqZJuiaea4uk2+LyqZJ+HB23xPdzU6b9C8AKM7vQzLrNbLuZfY0w+9RlybQkd0q2yEg6VtKKmKb1kr4epwYtbWuSzpH0VNzmG3FaztcCVwDHxzT3xO2vlXRJJdka5XGspAclbZPUKakQ0z87zh8woza2SmqLsWyLpMck/Usyjqqsm0My7tU6r0LXjsWSHoh5e6fClMoA98W/PTG9x6vCnbqyvP6KpOdj3LxCYRp6JM2I5+6R1C3pfkle3yoYXmDOSHgP8D1gCmFe9a8DxEDwI8J0lQcC84DzJJ0U97sQOA44GvgT4FjgXxPHnQVMAw4B/kHS64GrgY8QplK9Erhd0v5m9kH2boX59wqe3wUOAP4Y+CPg8rh8P8JF4hDChaCvlIYUvJ0wbWo5NwH/U9K4FMfYDXwSmAEcT8inj5Vt827gzwhTHZ8GnGRmvyVM2bkipnnKYCdJUR7/AfyHmU0CXhnT4DhOdozm2HoRIQ69EjgJOCPlfmnP+7fAh6JvK3B+XP4X8e+UmN4VNc61BHg1Ia9fRSiPz8d1nyJMr9wOzAQ+B/i0xQXDK8jOSPi5mf009kf7LiEgQ6jQtZvZxWa2y8yeBb4NLIzrTwcuNrONZrYJ+CLwwcRxXwYuMrOdZtYH/ANwpZn9wsx2m9l1wE7ChWBQJM0G3kGY/32LmfWb2f8BMLMuM7vVzF40s+3ApcBbUqZ9BmGe+XLWAy2Ei9CgmNlDZrbSzH5vZr8jXJzKz7/EzHrM7HngHkIwHiq1yqMfeJWkGWa2w8xWDuMcjuPUj9EcW08DLo135tYAX0u5X9rzXmNmT8b038QwYqokEfLuk6U7iMC/sXdMnQ0cEvPlfjPzCnLB8D5IzkjYkHj/IjAu3no7BJhTuvUfaQHuj+/nAB2JdR1xWYlNZvZS4vMhwBmSPp5Y1lq2TzUOArrNbEv5CkkHEFo8TgamxsUTJbWkeAhlMyEAljOb0FLQVUtM0quBrwLHEFphxgAPlW1WnscTah23ArXK4yzgYuBxSc8BXzSzHw/jPI7j1IfRHFvnAGvK0pCKlOetR0xtJ8Tsh0JdOZyeUBYAXyZ0w7szrv+WmS0ZxnmcDPEWZKcRrAGeM7MpiddEM3tnXL+OEJhLHByXlSj/T3sNoUUhebwDzOzGKtuX7ztNUqVuCJ8CXgO8MXYvKN1iU4Vty7kLWFBh+WnASjPbCfQSgmg4aBgaqT2x7X8CjwOHx/N/LuW5YWi36wYtDzN7yszeT7jleBlwi6TxQzi+4zjNYTTE1vWEyncyDUleJBFXCd1G6nHeocTUzYTuG3+cyLfJFh68xMIzKZ8ys8MI3WX+WdK8IRzfyQFeQXYawS+B7fFhkDZJLZKOlPRncf2NwL9Kao8PSHye8HBbNb4NnCPpjQqMl/QuSRPj+k7gsEo7mtl64GfAN+MDHGMllYLmREKQ65E0jdD3LS1fBN4k6dL4oMrE2ArzIQb6oT1JaPl5l6SxhL6A+yeOMRHYBuyQdATw0SGcvxOYq8RDfYMwaHlI+oCkdjN7GSi1TL08BBfHcZrDaIitNwEXxGPOBT5etv5h4G9j2k9m7y4UIznvJkLcq5jeJDFWfhu4XNIfAUg6sNQXXOHBx1fFrhhbCc+beEwtGF5BdupOvJX1bkLfrucI/21fBUyOm1wCPAisJgyTtiouq3a8B4G/JzxssQV4GjgzscmXCBeFHknn73sEPkjoE/Y4sBE4Ly5fCrRFv5XAfw8hjU8Bf07oG/g7QsVyMfDXZnZX3GYr4aG7q4AXCC3KyVEtzic8MLKdEGy/n/b8wHLgUWCDpM01XGuVx8nAo5J2EB7YWxj75zmOkyNGQ2wlND50xPTdSeiDneQTwF8RYu7phOE1S4wkpr9I6LP8QExvrX7YnyHk10pJ2wh3FV8T1x0eP+8AVgDfNLN70ro4+UDeb9xxRk5srJh9wQAAAI5JREFU6VhJeADmv7L2cRzH+UNA0gnA9WaWdghOx6kL3oLsOHXAzNYSnuieLWk4D304juM4jpMTfBQLx6kTZvZrwm1Nx3Ecx3EKjHexcBzHcRzHcZwE3sXCcRzHcRzHcRJ4BdlxHMdxHMdxEngF2XEcx3Ecx3ESeAXZcRzHcRzHcRJ4BdlxHMdxHMdxEvx/5StiNEf4+eIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def ts_plot(data, lags=None, title=\"\"):\n",
    "    if not isinstance(data, pd.Series):\n",
    "        data = pd.Series(data)\n",
    "    with plt.style.context('bmh'):\n",
    "        fig = plt.figure(figsize=(10,8))\n",
    "        #设置子图\n",
    "        layout = (3,2)\n",
    "        ts_ax = plt.subplot2grid(layout, (0,0), colspan=2)\n",
    "        acf_ax = plt.subplot2grid(layout, (1,0))\n",
    "        pacf_ax = plt.subplot2grid(layout, (1,1))\n",
    "        qq_ax = plt.subplot2grid(layout, (2,0))\n",
    "        pp_ax = plt.subplot2grid(layout,(2,1))\n",
    "        \n",
    "        data.plot(ax = ts_ax)\n",
    "        ts_ax.set_title(title + \" -- Time Series Graph\")\n",
    "        sp500_size = sp500.shape[0]\n",
    "        xticklabel = sp500.loc[:,'date'].apply(lambda x: str(x.year) + '-' + str(x.month) + '-' + str(x.day))\n",
    "        xticks = np.arange(0, sp500_size + 1, np.int((sp500_size + 1 ) / 5))\n",
    "        ts_ax.set_xticks(xticks)\n",
    "        ts_ax.set_xticklabels(xticklabel[xticks])\n",
    "        \n",
    "        # Set the ACF graph\n",
    "        smt.graphics.plot_acf(data, lags = lags, ax = acf_ax, alpha = 0.5)\n",
    "        acf_ax.set_title(\"ACF\")\n",
    "        # Set the PACF graph\n",
    "        smt.graphics.plot_pacf(data, lags = lags, ax = pacf_ax, alpha = 0.5)\n",
    "        pacf_ax.set_title(\"PACF\")\n",
    "        # Set the QQ graph\n",
    "        sm.qqplot(data, line='s', ax=qq_ax)\n",
    "        qq_ax.set_title(\"QQ Graph\")\n",
    "        # Set the PP graph\n",
    "        scs.probplot(data, sparams = (data.mean(), data.std()*100), plot = pp_ax)\n",
    "        pp_ax.set_title(\"PP Graph\")\n",
    "        \n",
    "        plt.tight_layout()\n",
    "    return\n",
    "\n",
    "#设置20阶滞后期\n",
    "ts_plot(log_return, lags = 20, title = \"Log Return\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ARCH Model 自回歸條件異方差模型\n",
    "Autoregressive Conditionally Heteroskedastic Models - ARCH(p)\n",
    "\n",
    "AR(1) Model  \n",
    "$\n",
    "\\large\n",
    "y_t = \\alpha_0 + \\alpha_1 y_{t-1} + e_t $\n",
    "\n",
    "ARCH(p) Model  \n",
    "$\\large e_t = \\sigma_t w_t$  \n",
    "$\n",
    "\\large\n",
    "\\sigma_t^2 = \\alpha_0 + \\alpha_1 e^2_{t-1} + ... + \\alpha_p e^2_{t-p}$\n",
    "\n",
    "### Procedure for modeling the ARCH model:\n",
    "1. **Test whether the time series is stable** and establish an appropriate mean value equation accroding to the autocorrelation;  \n",
    "For example, the ARMA model describes how the rate of return changes over time. According to the fitted model and the actual value, the residual sequence can be obtained.\n",
    "\n",
    "2. Carry out the ARCH effect test on the **residual error sequence obtained by the fitted mean value equation**.  \n",
    "That is, whether the deviation of the yield rate around the mean is large or small. There are two ways to test whether a sequence has the ARCH effect: Ljung-Box test and LM test.\n",
    "\n",
    "3. If the ARCH effect is statistically significant, a volatility model needs to be set up to describe the dynamic changes of volatility.\n",
    "\n",
    "4. Conduct joint estimation of mean variance and volatility variance, that is, estimate the parameters in the mean variance and volatility variance and obtain the estimated error after assumingg that the actual data conform to the previously set mean variance and volatility variance.\n",
    "\n",
    "5. Test the fitted model. If the estimated results (residuals) do not meet the assumptions of the model itself, the usability of the model is poor.\n",
    "\n",
    "ARCH 模型的建模步驟(Chinese meaning)  \n",
    "（1）**检验收益序列是否平稳**，根据自相关性建立合适的均值方程，  \n",
    "如ARMA模型，描述收益率如何随时间变化，根据拟合的模型和实际值，得到残差序列。\n",
    "\n",
    "（2）对拟合的均值方程得到的**残差序列进行ARCH效应检验**，  \n",
    "即检验收益率围绕均值的偏差是否时大时小。  \n",
    "检验序列是否具有ARCH效应的方法有两种：Ljung-Box检验和LM检验。\n",
    "\n",
    "（3）若ARCH效应在统计上显著，则需要再设定一个波动率模型来刻画波动率的动态变化。\n",
    "\n",
    "（4）对均值方差和波动率方差进行联合估计，即假设实际数据服从前面设定的均值方差和波动率方差后，对均值方差和波动率方差中的参数进行估计，并得到估计的误差。\n",
    "\n",
    "（5）对拟合的模型进行检验。如果估计结果（残差项）不满足模型本身的假设，  \n",
    "则模型的可用性较差。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "About `seed()`:  \n",
    "It assign the random variable value.\n",
    "1. If it use the same `seed()` value, the random variable is also same;\n",
    "2. If not setting the value, system will set the value automatally. It will be different;\n",
    "3. Settled `seed()` value is available only one time.\n",
    "\n",
    "額外話題：\n",
    "> seed( ) 用于指定随机数生成时所用算法开始的整数值。\n",
    "1.如果使用相同的seed( )值，则每次生成的随即数都相同；\n",
    "2.如果不设置这个值，则系统根据时间来自己选择这个值，此时每次生成的随机数因时间差异而不同。\n",
    "3.设置的seed()值仅一次有效"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 模拟ARCH时间序列 Simulate the time series ARCH\n",
    "np.random.seed(2) # 隨機生成兩個數\n",
    "a0 = 2\n",
    "a1 = 0.5\n",
    "y = w = np.random.normal(size = 700)\n",
    "Y = np.empty_like(y)\n",
    "\n",
    "for t in range(1, len(y)):\n",
    "    Y[t] = w[t] * np.sqrt(( a0 + a1 * y[t-1] ** 2))\n",
    "\n",
    "ts_plot(Y, lags=30, title='Testing ARCH ')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def return_plot(ts, title=\"\"):\n",
    "    ts1 = ts ** 2\n",
    "    ts2 = np.abs(ts)\n",
    "    with plt.style.context('ggplot'):\n",
    "        fig = plt.figure(figsize=(12,6))\n",
    "        layout = (2,1)\n",
    "        ts1_ax = plt.subplot2grid(layout, (0,0), colspan = 2)\n",
    "        ts2_ax = plt.subplot2grid(layout, (1,0))\n",
    "        ts1.plot(ax = ts1_ax)\n",
    "        ts1_ax.set_title(title + \" Daily Return Square\")\n",
    "        ts2.plot(ax = ts2_ax)\n",
    "        ts2_ax.set_title(title + \" Daily Return Abs\")\n",
    "        plt.tight_layout()\n",
    "    return\n",
    "\n",
    "return_plot(log_return, title = \"SP500 Bond \")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Test whether it has whitenoise for ARCH."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/Daniel_Sou/opt/anaconda3/lib/python3.7/site-packages/statsmodels/stats/diagnostic.py:496: FutureWarning: The default value of lags is changing.  After 0.12, this value will become min(10, nobs//5). Directly setlags to silence this warning.\n",
      "  \"lags to silence this warning.\", FutureWarning)\n",
      "/Users/Daniel_Sou/opt/anaconda3/lib/python3.7/site-packages/statsmodels/stats/diagnostic.py:524: FutureWarning: The value returned will change to a single DataFrame after 0.12 is released.  Set return_df to True to use to return a DataFrame now.  Set return_df to False to silence this warning.\n",
      "  warnings.warn(msg, FutureWarning)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def whitenoise_test(ts):\n",
    "    '''\n",
    "    Calculate Box pierce and box ljung stastics\n",
    "    '''\n",
    "    from statsmodels.stats.diagnostic import acorr_ljungbox\n",
    "    q,p = acorr_ljungbox(ts)\n",
    "    with plt.style.context('ggplot'):\n",
    "        fig = plt.figure(figsize = (10,4))\n",
    "        axes = fig.subplots(1,2)\n",
    "        axes[0].plot(q, label = 'QQ Statistic')\n",
    "        axes[0].set_ylabel('Q')\n",
    "        \n",
    "        axes[1].plot(p, label = 'Probability')\n",
    "        axes[1].set_ylabel('P')\n",
    "        \n",
    "        axes[0].legend()\n",
    "        axes[1].legend()\n",
    "        plt.tight_layout()\n",
    "    return\n",
    "\n",
    "whitenoise_test(log_return ** 2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### GARCH Model\n",
    " \n",
    "Generalized Conditionally Heteroskedastic Models - GARCH(p,q)  \n",
    "\n",
    "$ \\large \\epsilon_t = \\sigma_t \\omega_t $  \n",
    "$ \\large \\sigma_t^2 = \\alpha_0 + \\sum_{i = 1}^{p} \\alpha_i \\epsilon_{t-i}^2 + \\sum_{j = 1}^q \\beta_j \\sigma_{t-j}^2$\n",
    "\n",
    "$\\omega_t$ is whitenoise\n",
    "\n",
    "Chinese meaning of Python package `arch`\n",
    "```\n",
    "arch.arch_model(y, x=None, mean='Constant', lags=0, vol='Garch', p=1, o=0, q=1, power=2.0, dist='Normal', hold_back=None)\n",
    "\n",
    "y : 因变量。\n",
    "\n",
    "x : 外生变量，如果没有外生变量则模型自动省略。\n",
    "\n",
    "mean: 均值模型的名称，可选: ‘Constant’, ‘Zero’, ‘ARX’ 以及 ‘HARX’。\n",
    "\n",
    "lags:滞后阶数。\n",
    "\n",
    "vol :波动率模型，可选: ‘GARCH’ （默认）, ‘ARCH’, ‘EGARCH’, ‘FIARCH’ 以及 ‘HARCH’。\n",
    "\n",
    "p :– 对称随机数的滞后阶,即扣除均值后的部分。\n",
    "\n",
    "o ：非对称数据的滞后阶。\n",
    "\n",
    "q ：波动率或对应变量的滞后阶。\n",
    "\n",
    "power：使用GARCH或相关模型的精度。\n",
    "\n",
    "dist：误差分布，可选：正态分布: ‘normal’, ‘gaussian’ (default)；学生T分布: ‘t’, ‘studentst’；偏态学生T分布: ‘skewstudent’, ‘skewt’；通用误差分布: ‘ged’, ‘generalized error”。\n",
    "\n",
    "hold_back：对同一样本使用不同的滞后阶来比较模型时使用该参数。\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Simulate GARCH(1,1)\n",
    "np.random.seed(1)\n",
    "a0 = 0.2\n",
    "a1 = 0.5\n",
    "b1 = 0.3\n",
    "n = 1000\n",
    "w = np.random.normal(size = n)\n",
    "garch = np.zeros_like(w)\n",
    "sigsq = np.zeros_like(w)\n",
    "\n",
    "for i in range(1,n):\n",
    "    sigsq[i] = a0 + a1 * (garch[i-1] ** 2) + b1 * sigsq[i-1]\n",
    "    garch[i] = w[i] * np.sqrt(sigsq[i])\n",
    "\n",
    "ts_plot(garch, lags = 30, title = \"Simulate GARCH\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization terminated successfully.    (Exit mode 0)\n",
      "            Current function value: 1178.0817748468114\n",
      "            Iterations: 13\n",
      "            Function evaluations: 87\n",
      "            Gradient evaluations: 13\n",
      "                     Constant Mean - GARCH Model Results                      \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   R-squared:                      -0.000\n",
      "Mean Model:             Constant Mean   Adj. R-squared:                 -0.000\n",
      "Vol Model:                      GARCH   Log-Likelihood:               -1178.08\n",
      "Distribution:                  Normal   AIC:                           2364.16\n",
      "Method:            Maximum Likelihood   BIC:                           2383.79\n",
      "                                        No. Observations:                 1000\n",
      "Date:                Tue, May 12 2020   Df Residuals:                      996\n",
      "Time:                        14:51:52   Df Model:                            4\n",
      "                                  Mean Model                                 \n",
      "=============================================================================\n",
      "                 coef    std err          t      P>|t|       95.0% Conf. Int.\n",
      "-----------------------------------------------------------------------------\n",
      "mu             0.0276  1.993e-02      1.387      0.165 [-1.141e-02,6.669e-02]\n",
      "                            Volatility Model                            \n",
      "========================================================================\n",
      "                 coef    std err          t      P>|t|  95.0% Conf. Int.\n",
      "------------------------------------------------------------------------\n",
      "omega          0.1675  2.565e-02      6.532  6.487e-11 [  0.117,  0.218]\n",
      "alpha[1]       0.4922  6.263e-02      7.860  3.842e-15 [  0.370,  0.615]\n",
      "beta[1]        0.3333  4.190e-02      7.955  1.795e-15 [  0.251,  0.415]\n",
      "========================================================================\n",
      "\n",
      "Covariance estimator: robust\n"
     ]
    }
   ],
   "source": [
    "# Fit the data with GARCH(1,1) from arch_model\n",
    "am = arch_model(garch)\n",
    "result = am.fit(update_freq = 0)\n",
    "\n",
    "print(result.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## GARCH Model\n",
    "It is based on StudentT distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization terminated successfully.    (Exit mode 0)\n",
      "            Current function value: -95.8142875140496\n",
      "            Iterations: 15\n",
      "            Function evaluations: 134\n",
      "            Gradient evaluations: 15\n",
      "                      Constant Mean - GJR-GARCH Model Results                       \n",
      "====================================================================================\n",
      "Dep. Variable:                   log_return   R-squared:                      -0.001\n",
      "Mean Model:                   Constant Mean   Adj. R-squared:                 -0.001\n",
      "Vol Model:                        GJR-GARCH   Log-Likelihood:                95.8143\n",
      "Distribution:      Standardized Student's t   AIC:                          -179.629\n",
      "Method:                  Maximum Likelihood   BIC:                          -151.735\n",
      "                                              No. Observations:                  772\n",
      "Date:                      Tue, May 12 2020   Df Residuals:                      766\n",
      "Time:                              14:52:12   Df Model:                            6\n",
      "                                 Mean Model                                 \n",
      "============================================================================\n",
      "                 coef    std err          t      P>|t|      95.0% Conf. Int.\n",
      "----------------------------------------------------------------------------\n",
      "mu             0.0257  7.231e-03      3.550  3.858e-04 [1.149e-02,3.984e-02]\n",
      "                               Volatility Model                              \n",
      "=============================================================================\n",
      "                 coef    std err          t      P>|t|       95.0% Conf. Int.\n",
      "-----------------------------------------------------------------------------\n",
      "omega      3.5402e-03  3.240e-03      1.093      0.274 [-2.809e-03,9.890e-03]\n",
      "alpha[1]       0.1467  5.229e-02      2.806  5.010e-03    [4.426e-02,  0.249]\n",
      "gamma[1]      -0.0175  5.518e-02     -0.317      0.751    [ -0.126,9.066e-02]\n",
      "beta[1]        0.8018      0.114      7.047  1.826e-12      [  0.579,  1.025]\n",
      "                              Distribution                              \n",
      "========================================================================\n",
      "                 coef    std err          t      P>|t|  95.0% Conf. Int.\n",
      "------------------------------------------------------------------------\n",
      "nu             8.6346      2.588      3.336  8.500e-04 [  3.562, 13.708]\n",
      "========================================================================\n",
      "\n",
      "Covariance estimator: robust\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/Daniel_Sou/opt/anaconda3/lib/python3.7/site-packages/arch/univariate/base.py:293: DataScaleWarning: y is poorly scaled, which may affect convergence of the optimizer when\n",
      "estimating the model parameters. The scale of y is 0.09487. Parameter\n",
      "estimation work better when this value is between 1 and 1000. The recommended\n",
      "rescaling is 10 * y.\n",
      "\n",
      "This warning can be disabled by either rescaling y before initializing the\n",
      "model or by setting rescale=False.\n",
      "\n",
      "  data_scale_warning.format(orig_scale, rescale), DataScaleWarning\n"
     ]
    }
   ],
   "source": [
    "rate = log_return * 100\n",
    "am = arch_model(rate, p=1, o=1, q=1, dist='StudentsT')\n",
    "result = am.fit(update_freq = 0)\n",
    "\n",
    "#update_freq=0表示不输出中间结果，只输出最终结果\n",
    "print(result.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_plot(rate,lags=30,title='SP500 Bond ')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The formula is:  \n",
    "$\\large \\epsilon_t = \\sigma_t ~ u_t$  \n",
    "$\\large \\sigma_t^2 = 3.5402 * 10^{-3} + 0.1467 \\, \\epsilon_{t-1}^2 + 0.8018 \\sigma_{t-1}^2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    0.000000\n",
       "1   -0.076544\n",
       "2    0.016749\n",
       "3   -0.033501\n",
       "4   -0.191649\n",
       "Name: log_return, dtype: float64"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rate.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "result.resid.plot(figsize = (12,5))\n",
    "plt.title('SP500 Bond Log Return fit GARCH(1,1)', size = 15)\n",
    "sp500_size = sp500.shape[0]\n",
    "xticklabel = sp500.loc[:,'date'].apply(lambda x: str(x.year) + '-' + str(x.month) + '-' + str(x.day))\n",
    "xticks = np.arange(0, sp500_size + 1, np.int((sp500_size + 1 ) / 5))\n",
    "plt.xticks(ticks = xticks, labels = xticklabel[xticks])\n",
    "plt.show()\n",
    "\n",
    "result.conditional_volatility.plot(figsize = (12,5), color ='r')\n",
    "plt.title('Log Return Conditional Volatility', size = 15)\n",
    "plt.xticks(ticks = xticks, labels = xticklabel[xticks])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>DGS10_%</th>\n",
       "      <th>dgs10</th>\n",
       "      <th>ytm</th>\n",
       "      <th>price</th>\n",
       "      <th>Yield To Maturity</th>\n",
       "      <th>log_return</th>\n",
       "      <th>sigma2</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2017-03-01</td>\n",
       "      <td>2.46</td>\n",
       "      <td>0.0246</td>\n",
       "      <td>0.0335</td>\n",
       "      <td>418.22</td>\n",
       "      <td>0.0335</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2017-03-02</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>417.90</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>-0.000765</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2017-03-03</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0336</td>\n",
       "      <td>417.97</td>\n",
       "      <td>0.0336</td>\n",
       "      <td>0.000167</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2017-03-06</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>417.83</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>-0.000335</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-07</td>\n",
       "      <td>2.52</td>\n",
       "      <td>0.0252</td>\n",
       "      <td>0.0340</td>\n",
       "      <td>417.03</td>\n",
       "      <td>0.0340</td>\n",
       "      <td>-0.001916</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date  DGS10_%   dgs10     ytm   price  Yield To Maturity  log_return  \\\n",
       "0 2017-03-01     2.46  0.0246  0.0335  418.22             0.0335    0.000000   \n",
       "1 2017-03-02     2.49  0.0249  0.0337  417.90             0.0337   -0.000765   \n",
       "2 2017-03-03     2.49  0.0249  0.0336  417.97             0.0336    0.000167   \n",
       "3 2017-03-06     2.49  0.0249  0.0337  417.83             0.0337   -0.000335   \n",
       "4 2017-03-07     2.52  0.0252  0.0340  417.03             0.0340   -0.001916   \n",
       "\n",
       "   sigma2  \n",
       "0     0.0  \n",
       "1     NaN  \n",
       "2     NaN  \n",
       "3     NaN  \n",
       "4     NaN  "
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500.loc[0,'sigma2'] = 0\n",
    "sp500.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "  <thead>\n",
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       "      <th></th>\n",
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       "      <th>DGS10_%</th>\n",
       "      <th>dgs10</th>\n",
       "      <th>ytm</th>\n",
       "      <th>price</th>\n",
       "      <th>Yield To Maturity</th>\n",
       "      <th>log_return</th>\n",
       "      <th>sigma2</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2017-03-01</td>\n",
       "      <td>2.46</td>\n",
       "      <td>0.0246</td>\n",
       "      <td>0.0335</td>\n",
       "      <td>418.22</td>\n",
       "      <td>0.0335</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2017-03-02</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>417.90</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>-0.000765</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2017-03-03</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0336</td>\n",
       "      <td>417.97</td>\n",
       "      <td>0.0336</td>\n",
       "      <td>0.000167</td>\n",
       "      <td>3.515394e-08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2017-03-06</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>417.83</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>-0.000335</td>\n",
       "      <td>3.472788e-08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-07</td>\n",
       "      <td>2.52</td>\n",
       "      <td>0.0252</td>\n",
       "      <td>0.0340</td>\n",
       "      <td>417.03</td>\n",
       "      <td>0.0340</td>\n",
       "      <td>-0.001916</td>\n",
       "      <td>3.937805e-08</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date  DGS10_%   dgs10     ytm   price  Yield To Maturity  log_return  \\\n",
       "0 2017-03-01     2.46  0.0246  0.0335  418.22             0.0335    0.000000   \n",
       "1 2017-03-02     2.49  0.0249  0.0337  417.90             0.0337   -0.000765   \n",
       "2 2017-03-03     2.49  0.0249  0.0336  417.97             0.0336    0.000167   \n",
       "3 2017-03-06     2.49  0.0249  0.0337  417.83             0.0337   -0.000335   \n",
       "4 2017-03-07     2.52  0.0252  0.0340  417.03             0.0340   -0.001916   \n",
       "\n",
       "         sigma2  \n",
       "0  0.000000e+00  \n",
       "1  0.000000e+00  \n",
       "2  3.515394e-08  \n",
       "3  3.472788e-08  \n",
       "4  3.937805e-08  "
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "for i in range(sp500.shape[0] - 2):\n",
    "    sp500.loc[i+1,'sigma2'] = sp500.loc[i,'sigma2'] * 0.94 + 0.06 * (sp500.loc[i,'log_return']) ** 2\n",
    "    \n",
    "sp500.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "sp500_garch = sp500.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-07</td>\n",
       "      <td>2.52</td>\n",
       "      <td>0.0252</td>\n",
       "      <td>0.0340</td>\n",
       "      <td>417.03</td>\n",
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       "        date  DGS10_%   dgs10     ytm   price  Yield To Maturity  log_return  \\\n",
       "0 2017-03-01     2.46  0.0246  0.0335  418.22             0.0335    0.000000   \n",
       "1 2017-03-02     2.49  0.0249  0.0337  417.90             0.0337   -0.000765   \n",
       "2 2017-03-03     2.49  0.0249  0.0336  417.97             0.0336    0.000167   \n",
       "3 2017-03-06     2.49  0.0249  0.0337  417.83             0.0337   -0.000335   \n",
       "4 2017-03-07     2.52  0.0252  0.0340  417.03             0.0340   -0.001916   \n",
       "\n",
       "         sigma2  \n",
       "0  0.000000e+00  \n",
       "1  0.000000e+00  \n",
       "2  3.515394e-08  \n",
       "3  3.472788e-08  \n",
       "4  3.937805e-08  "
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500_garch.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th>3</th>\n",
       "      <td>2017-03-06</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>417.83</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>-0.000335</td>\n",
       "      <td>3.472788e-08</td>\n",
       "      <td>0.000186</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-07</td>\n",
       "      <td>2.52</td>\n",
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       "      <td>0.0340</td>\n",
       "      <td>417.03</td>\n",
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       "      <td>0.000198</td>\n",
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      "text/plain": [
       "        date  DGS10_%   dgs10     ytm   price  Yield To Maturity  log_return  \\\n",
       "0 2017-03-01     2.46  0.0246  0.0335  418.22             0.0335    0.000000   \n",
       "1 2017-03-02     2.49  0.0249  0.0337  417.90             0.0337   -0.000765   \n",
       "2 2017-03-03     2.49  0.0249  0.0336  417.97             0.0336    0.000167   \n",
       "3 2017-03-06     2.49  0.0249  0.0337  417.83             0.0337   -0.000335   \n",
       "4 2017-03-07     2.52  0.0252  0.0340  417.03             0.0340   -0.001916   \n",
       "\n",
       "         sigma2     sigma  \n",
       "0  0.000000e+00  0.000000  \n",
       "1  0.000000e+00  0.000000  \n",
       "2  3.515394e-08  0.000187  \n",
       "3  3.472788e-08  0.000186  \n",
       "4  3.937805e-08  0.000198  "
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500_garch['sigma'] = sp500_garch['sigma2'] ** 0.5\n",
    "sp500_garch.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "sp500_garch['z'] = sp500_garch['log_return'] / sp500_garch['sigma']\n",
    "sp500_garch = sp500_garch.dropna()\n",
    "sp500_garch = sp500_garch.reset_index(drop = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 770 entries, 0 to 769\n",
      "Data columns (total 10 columns):\n",
      "date                 770 non-null datetime64[ns]\n",
      "DGS10_%              770 non-null float64\n",
      "dgs10                770 non-null float64\n",
      "ytm                  770 non-null float64\n",
      "price                770 non-null float64\n",
      "Yield To Maturity    770 non-null float64\n",
      "log_return           770 non-null float64\n",
      "sigma2               770 non-null float64\n",
      "sigma                770 non-null float64\n",
      "z                    770 non-null float64\n",
      "dtypes: datetime64[ns](1), float64(9)\n",
      "memory usage: 60.2 KB\n"
     ]
    }
   ],
   "source": [
    "sp500_garch.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_train = sp500_garch.loc[0:350]\n",
    "data_test = sp500_garch.loc[351:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/Daniel_Sou/opt/anaconda3/lib/python3.7/site-packages/pandas/core/indexing.py:543: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  self.obj[item] = s\n"
     ]
    },
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2017-03-07</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-08</td>\n",
       "      <td>2.57</td>\n",
       "      <td>0.0257</td>\n",
       "      <td>0.0345</td>\n",
       "      <td>415.75</td>\n",
       "      <td>0.0345</td>\n",
       "      <td>-0.003074</td>\n",
       "      <td>2.573913e-07</td>\n",
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      ],
      "text/plain": [
       "        date  DGS10_%   dgs10     ytm   price  Yield To Maturity  log_return  \\\n",
       "0 2017-03-02     2.49  0.0249  0.0337  417.90             0.0337   -0.000765   \n",
       "1 2017-03-03     2.49  0.0249  0.0336  417.97             0.0336    0.000167   \n",
       "2 2017-03-06     2.49  0.0249  0.0337  417.83             0.0337   -0.000335   \n",
       "3 2017-03-07     2.52  0.0252  0.0340  417.03             0.0340   -0.001916   \n",
       "4 2017-03-08     2.57  0.0257  0.0345  415.75             0.0345   -0.003074   \n",
       "\n",
       "         sigma2     sigma         z  \n",
       "0  0.000000e+00  0.000000  0.000000  \n",
       "1  3.515394e-08  0.000187  0.893310  \n",
       "2  3.472788e-08  0.000186 -1.797697  \n",
       "3  3.937805e-08  0.000198 -9.657826  \n",
       "4  2.573913e-07  0.000507 -6.059169  "
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_train.loc[0,'z'] = 0\n",
    "data_train.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>DGS10_%</th>\n",
       "      <th>dgs10</th>\n",
       "      <th>ytm</th>\n",
       "      <th>price</th>\n",
       "      <th>Yield To Maturity</th>\n",
       "      <th>log_return</th>\n",
       "      <th>sigma2</th>\n",
       "      <th>sigma</th>\n",
       "      <th>z</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>351</th>\n",
       "      <td>2018-07-25</td>\n",
       "      <td>2.94</td>\n",
       "      <td>0.0294</td>\n",
       "      <td>0.0403</td>\n",
       "      <td>428.83</td>\n",
       "      <td>0.0403</td>\n",
       "      <td>-0.000326</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.001649</td>\n",
       "      <td>-0.197907</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>352</th>\n",
       "      <td>2018-07-26</td>\n",
       "      <td>2.98</td>\n",
       "      <td>0.0298</td>\n",
       "      <td>0.0403</td>\n",
       "      <td>429.00</td>\n",
       "      <td>0.0403</td>\n",
       "      <td>0.000396</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.001601</td>\n",
       "      <td>0.247549</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>353</th>\n",
       "      <td>2018-07-27</td>\n",
       "      <td>2.96</td>\n",
       "      <td>0.0296</td>\n",
       "      <td>0.0402</td>\n",
       "      <td>429.58</td>\n",
       "      <td>0.0402</td>\n",
       "      <td>0.001351</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>0.001555</td>\n",
       "      <td>0.868658</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>354</th>\n",
       "      <td>2018-07-30</td>\n",
       "      <td>2.98</td>\n",
       "      <td>0.0298</td>\n",
       "      <td>0.0402</td>\n",
       "      <td>429.54</td>\n",
       "      <td>0.0402</td>\n",
       "      <td>-0.000093</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>0.001544</td>\n",
       "      <td>-0.060316</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>355</th>\n",
       "      <td>2018-07-31</td>\n",
       "      <td>2.96</td>\n",
       "      <td>0.0296</td>\n",
       "      <td>0.0399</td>\n",
       "      <td>430.36</td>\n",
       "      <td>0.0399</td>\n",
       "      <td>0.001907</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>0.001497</td>\n",
       "      <td>1.274016</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          date  DGS10_%   dgs10     ytm   price  Yield To Maturity  \\\n",
       "351 2018-07-25     2.94  0.0294  0.0403  428.83             0.0403   \n",
       "352 2018-07-26     2.98  0.0298  0.0403  429.00             0.0403   \n",
       "353 2018-07-27     2.96  0.0296  0.0402  429.58             0.0402   \n",
       "354 2018-07-30     2.98  0.0298  0.0402  429.54             0.0402   \n",
       "355 2018-07-31     2.96  0.0296  0.0399  430.36             0.0399   \n",
       "\n",
       "     log_return    sigma2     sigma         z  \n",
       "351   -0.000326  0.000003  0.001649 -0.197907  \n",
       "352    0.000396  0.000003  0.001601  0.247549  \n",
       "353    0.001351  0.000002  0.001555  0.868658  \n",
       "354   -0.000093  0.000002  0.001544 -0.060316  \n",
       "355    0.001907  0.000002  0.001497  1.274016  "
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_test.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### MLE or QMLE   - Based on t-distribution GARCH Model\n",
    "極大似然估計方法 或 似極大似然方法  \n",
    "The formula is  \n",
    "![](../pic/studentT.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "def getNegativeLoglikehood(d,r):\n",
    "    LogLikeLihood = r.shape[0] * (gammaln((d+1) / 2) - gammaln(d / 2) - np.log(np.pi) / 2 - np.log(d-2) / 2) - 1/2 * (1+d) * np.log(r['z'] ** 2 / (d-2) + 1).sum()\n",
    "    return -LogLikeLihood"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization terminated successfully.\n",
      "         Current function value: 1183.485445\n",
      "         Iterations: 18\n",
      "         Function evaluations: 36\n",
      "QMLE Estimated (d) >>  [7.05743408]\n"
     ]
    }
   ],
   "source": [
    "d_best = optimize.fmin(getNegativeLoglikehood, np.array([10]), args=(sp500_garch,), ftol= 0.000000001)\n",
    "print(\"QMLE Estimated (d) >> \", d_best)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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yx5vwLfdzMWfwLDPYmxN5mSnklzlPM4gkE1JJCLeYWQPgMmAAsBVwSVqjEqkiEiUCcDpRSH96U4//cS03cwdXsprNyp6p7iHJkFRmGRWXqVgGKeyuISJJEgE0ZSFDuIDjeI33OYhuDGMueWXOy8uD2bPTHKhICanMMnqE8rfQ7JKWiERyXHljBBCK0Z3Pg9zBldRkDRfTn4FcWG79IbUKJA6pdBmVLGRXBziFMI4gIiWUN4W02G58wkN05zAmMIaOFDCUeexU5jyNFUicUukyGlnysZk9DbybtohEckyiFgGEYnSXcg83cgO/UYe/8TCPch6ly06oRSDZIJVpp6XtBmxb2YGI5JpEU0iL7c0MJnIAd3IlozmWPObwKH+jZDKoUUPJQLJHKmMIPxPGECz6/g1wZZrjEslqyRJBbVZwLbdwFf34nq05lecZyV8omQhUf0iyUSpdRvXT9eJmdgzQH6gJDHP3ful6LZHKkiwZHMgHDKcreczlUc7lMv7B9zRe+7wSgWSzpAnBzLYAOsHaOXGTgRHuvnJTX9jMagIDgSMJW3ROMrOX3X1O8itF4lF2Y/t1tuR/3MK1XMz9LKQZR/M6b3L02ue32AKWL89QoCIbKeEYgpm1AeYAhxDqF80DjgbeM7OGZnbLJr72/sBn7v5FlGCeAU7axHuKpIVZ4mTQkTHMpA19ommkrZm1XjJwVzKQ3JCshXA/UODuY0oeNLOOwCxgU5fM7EjYja3YIuCA0ieZWQFQANC8efNNfEmRDZNsKmlDfuAfXEYXHuHf7MEfeIf3+MO659U9JDkm2Syj7UsnAwB3H0uob3RK2qJa//WGunu+u+c3adIkEy8pUm410pJO5kXmkMc5PM5tXE1bpq9NBnl5oVWgZCC5JlkLoYaZbe7uK0oeNLM6hMqnm9oIXgw0K/G4aXRMJDbJxgkAfsc3DKAXpzGCabTlOF5lGu3WPq8ppJLLkrUQHgdGmlmL4gNm1hJ4DniiEl57ErCbme1kZrWBM4CXK+G+Ihtsxx2TjxOAczaPM4c8TuAVruY29uejtcmgYUMlA8l9CROCu98CvA68Y2ZLzWwp8DYwxt1v3tQXdvfVwEXAG8Bc4Dl3VykvyaiePStKBNCc+YzmWB7nXOaQR1um04+r11YmVfeQVBVJp526+wPAA2ZWP3r8c2W+uLu/BrxWmfcUSVVF3UNGET0YTD+uwnAuYgCD6ImX+BylVoFUJSmVrnD3nys7GYjEqWbN5Mlgd/7DBA5lIBfxHgfTitkM5KK1yaBDByUDqXo2ppaRSM4q7iIqKir/+Vqs4ipuZwb7kMcczuVRjmU0CwhDacX7GY8dm8GgRTIklfLXIlVCsjUFAG2ZxnC60o5pPM+p9GIA/2U7AHr0gEGDMhSoSExSKW5Xl7B9ZnN3725muwF7lNhJTSTrJas/tDm/cT03cQV3soQm/JmRvMifAZWckOollS6jR4AVwEHR48XAppatEMmIikpUt+c9ptOWa7idxzmHPObwIn9eO41UyUCqk1S6jHZx99PN7EwAd19ulux/MZHskKyLqB4/cxvXcCEDmU8LjuRNxnIkoMFiqb5SSQgro6qnDmBmuxBaDCJZK9lHlqN4g6EU0IyFDKAXfbmVX6gHKBlI9ZZKl9ENhAVqzcysEBgHXJHWqEQ2QaJk0IjveZRzeYNjWE5d/sC79KE/v1BP00hFSG2DnDFmNhU4kLDlU293X5r2yEQ2ULKFZn9hBAO5kK35npu5llvpywrqUKMGrFmT2ThFslWy/RDaFX8BLYCvga+A5tExkaxQWJi4/MR2fM0I/sIITmMhzchnMtdzMyuoww47KBmIlJSshfCPJM85cEQlxyKywQoLoXPn8p5xzuNR7uFS6vAbV3AH93Apa6J/8lpXIFJWwoTg7odnMhCRDdWzJwweXPZ4S77kQc7nKMYwgUPoxjA+ZXcgrDRerCLrIuVKZWFaHaAn8AdCy+AdYIi7/5bm2ETK6NgRxo0r/7karOFCBnI7V1NEDXowiAc5f736Qyo5IZJYKtNOHwd+BgZEj88i7IdwWrqCEilPo0bw44/lP7cncxlOV9rzAa9xLBcwhIWs23JVyUCkYqkkhNbunlfi8b/MbE66AhIpLVmroBaruII7uZ6b+Jn6dOYJCulEmBAXqpo+9hh06pS5eEVyVSoJYaqZHejuHwKY2QHA5PSGJZJ4jKBYO6bwMF3Yh495htO5mPtZwrYAmk4qshFSWZj2e+B9M5tnZvOAD4D9zGymmX2c1uikWiouUZ0oGdThV27nKiZyAE1Ywkn8kzN5Zm0y2GwzJQORjZFKC+GYtEchEmnVCuYk6ZA8hAkMoxu78ykP0Y2/cxfLaLj2+YYNtZ2lyMaqsIXg7vOBn4AGQOPiL3efHz23wczsLjP7t5l9bGYvmlnDiq+Sqq5jx8TJoD4/MZCeTOAwarGaDoylgIfWSwY9eigZiGyKVKad3gycB3xOVOCOTV+YNga42t1Xm9kdwNXAlZtwP8lxhYWJB46P5TWGcAFNWcQ9XMJ13MxytlRrQKSSpdJl9FdCCeyVlfWi7v5miYcfAqdW1r0l9yQaPG7MUu7lEs7mSWaTR3veZyIHAppGKpIOqQwqzwLS2aXTBRid6EkzKzCzyWY2ecmSJWkMQzKtsBA237y8ZOCcxnPMIY8zeIb/4wbaMZWJHLi2KqmSgUjlS6WFcDswzcxmUWIfBHc/MdlFZjYWog1p19fX3V+KzukLrAYKE93H3YcCQwHy8/NVoLgKKCyELl1gZTltzu35ikH05GReYhL5dGAcs2ij2kMiGZBKQngMuAOYCRSlemN375jseTM7Dzge6OCuSvRVXWEh9O4N332X6AynK8O5m8vZnBVcxt30pzc1a9fCtR2TSEakkhCWu/v9lfmiZnYMYZOdw9xdu9ZWcRUtMNuJL3iI7nTgLcZzGN0YxufsCsBjD2coSBFJaQzhHTO73cwOKrVHwqZ4AKgPjDGz6WY2ZBPvJ1mmsBBatky+wKwGa+jDvcyiNfsxiQIe5AjeWpsMOnRQyQmRTEqlhbBv9P3AEsc2adqpu++6sddK9isshIICWJ6k7ZfHbIbTlQOZyCscTw8Gs5ima5/XmIFI5qWyhab2RZAN0rdv4mSwGSu5in5cyy0sowFn8hTPcAZg1KkDw4apVSASl1RaCJjZcUAroE7xMXe/KV1BSW5bsKD84/lMYjhd2ZuZFHIWfbiPpTTBDC64QC0CkbhVOIYQ9e+fDvQi1BQ+jbDHski5tt56/cdbsJw7+TsfciBb8z0n8DKdKcQbN+HJJ6GoSMlAJBukMqjc3t3PAX5w9xuBgyDaj1CkhMJC2Gab9aeWHsZ4PmZv/s7dPER3WjObZj1OwB2WLlX3kEg2SSUh/Bp9X25mOwCrgO3TF5LkouKB5OJksBXLGML5jCcMQR3OW/RrMYSBTzZQa0AkS6UyhjAqqkZ6FzCVMMPoobRGJTmlsBDOPXfdHgTHMYohXMD2fM1dXM4N3MhvVpeiebGGKSIVSGWW0c3RjyPNbBRQx92XpTcsyRXFLYM1a2AbltCf3pzF03xMG07hRSazHwAtmldwIxGJXcIuIzPbz8y2K/H4HOA54GYz2zrRdVK9hCmmzhk8zRzyOJURXM+N5DN5bTKoWxduvTXmQEWkQsnGEB4EVgKY2aFAP+BxYBlRsTmp3goLYfX8RbzMiTzNWXzOLuzLNG7melZRG4DGjWHoUA0ei+SCZF1GNd39++jn04Gh7j6S0HU0Pf2hSTYrfKKID7s+xBz+Ti1Wcwn3cD8XU0RNAGrWhMceUyIQySXJWgg1zaw4YXQA3irxXEoL2qSK+uwzdu7egQGrLmAS+9GaWdzHJWuTQd26SgYiuShZQngaeNvMXiJMPX0HwMx2JXQbSXWzejXcfTe0acNeK6bRlWF0ZCxfsvN6p6mLSCQ3Jfyk7+63mtk4wpqDN0vsWVCDsGpZqpOZM6FrV5g0CU46iaMmD2LS4h3KnNaihZKBSK5K2vXj7h+Wc+yT9IUjWWfFCrjttvDVqBE8+yyFK0/ji3etzKmaTSSS21JZqSzV1YcfQrt2cNNNcMYZMHcuhav+SsH5VmbnM80mEsl9SghS1i+/wKWXQvv28NNP8Oqr8MQT0LhxwtLW9eopGYjkOs0WkvWNGwfdu8OXX4Zdavr1g622Wvt0otLWiY6LSO5QC0GCH38MiaBjR6hVC95+O9SkLpEMAJonKEGR6LiI5I5YE4KZXWZmbmbbxBlHtffSS5CXB488AldeCTNmwKGHlnvqrbeGweOSNJgsUjXElhDMrBlwFKDOhrh8+20YLD75ZNh2W5g4MXQRbbFFmVMLC6FlSzj77PB048ZgFqaZajBZpGqIs4VwL3AFoZy2ZJI7PPkk7LUXvPgi3HJLWF/w+9+Xe3pxRdP588Ol330Hv/4axpnnzVMyEKkqYkkIZnYSsNjdZ6RwboGZTTazyUuWLMlAdFXcggVw3HHho/4ee8D06aFk6WabrXdacYugRo2w10HpmUXLl4fLRKTqSNssIzMbC2xXzlN9gWsI3UUVcvehRNVV8/Pz1ZrYWEVF8OCDcMUV4ef+/eHCC0MVulKKWwTFSaB445vSNLNIpGpJW0Jw947lHTezNsBOwAwzA2gKTDWz/d39m3TFU6198gl06wbvvANHHhkSw047JTw90VqD0jSzSKRqyXiXkbvPdPdt3b2lu7cEFgHtlAzSYPVquPNO2GefUIvokUfgjTfKJIOS3UMtW4axgopoZpFI1aOFaVXVjBnQpQtMnQqnnAIDB8L225c5rXT30Pz5YfaQl9M5V7Nm6G1q3jwkAw0mi1QtsSeEqJUgleW338KsoTvuCHNDR4yAv/wl4enldQ+5l00KdetqeqlIVaeVylXJ++/Dvvuu+/g+Z07SZACJB4bdwxoDrTUQqT5ibyFIJfjf/8JH/QEDoFkzeP11OProlC5t3rz8MYMWLcIaAxGpPtRCyHVjxkCbNiEZXHghzJqVcjIAlaIQkXWUEHLVDz+EQeOjjoLNN4cJE0JSqF9/g27TqVPoDlL3kIioyygXvfBCaA0sWQJXXw3XXw916mz07Tp1UgIQESWE3PLNN3DRRTByJLRtC6+9FgaRRUQqgbqMcoE7PPZYKFE9alTY3/ijj5QMRKRSqYWQ7ebPh/PPDyuMDz4Yhg2DPfeMOyoRqYLUQshWRUXwwAPQqhW89174ecIEJQMRSRu1ELLRf/4DXbuGRHD00aEYXYsWcUclIlWcWgjZZNUquP32UIxuzpwwbjB6tJKBiGSEWgjZYtq0sK5g+nQ49dTQRfS738UdlYhUI2ohxO2338Jagv32C9NKR46E559XMhCRjFMLIU7vvhvGCj75JLQO7r4bGjWKOyoRqabUQojDzz+HBWaHHAIrV4Z6RMOHKxmISKyUEDLtjTegdWsYNAh69w47mXUsd7dREZGMUkLIlO++g3PPhWOOgS23DFNK77sP6tWLOzIREUAJIf3cw65leXnw1FNw7bVhRtFBB8UdmYjIemJLCGbWy8z+bWazzezOuOJIq6+/DjuWnXZa2Lhm8mS4+eZQrlpEJMvEkhDM7HDgJGAfd28F3B1HHGnjDo88EloFo0fDnXfChx+GBWcZVlgILVtCjRrhe2FhxkMQkRwR17TTHkA/d18B4O7fxhRH5fvySygogLFj4dBD4aGHYPfdYwmlsDCEsnx5eDx/fngM2v9ARMqKq8tod+AQM5toZm+b2X4xxVF51qyB++8PM4gmToTBg+Ff/4otGUDYZrk4GRRbvjwcFxEpLW0tBDMbC2xXzlN9o9fdGjgQ2A94zsx2dncv5z4FQAFA8+bN0xXuppkzB7p1gw8+gGOPDcXomjWLOyoWLNiw4yJSvaUtIbh7wsn1ZtYDeCFKAB+ZWRGwDbCknPsMBYYC5Ofnl0kYsVq1Cu64IwwU168PTz4JZ50VNifOAs2bh26i8o6LiJQWV5fRP4HDAcxsd6A2sDSmWDbOlCmQnw/XXQennBJaCZ06ZU0yALj1Vqhbd/1jdeuG4yIipcWVEB4GdjazWcAzwLnldRdlpV9/hSuvhP33h6VL4Z//hGeegW23jTuyMjp1gqFDQ/Vss55pcncAAAsQSURBVPB96FANKItI+SxX3ochdBlNnjw5vgAmTAhjBZ9+Ct27h+mkDRvGF4+ISArMbIq751d0nlYqp+Knn6BnTzjssDCbaNy48FFbyUBEqhAlhIq89lrY1/jBB+HSS+Hjj+GII+KOSkSk0ikhJLJ0KXTuDMcdB1ttBe+/D//4RyhMJyJSBSkhlOYOzz4byk48+yzccANMnQoHHBB3ZCIiaaUd00r66ivo0QNefjlsaTluHLRpE3dUIiIZoRYChFbBsGGhVTBmTNjK8oMPlAxEpFpRC+GLL8IU0rfegj/+MRSj23XXuKMSEcm46ttCWLMG7r03FKObPDnMIho3TslARKqt6tlCmDULunaFjz6C448PlUmbNo07KhGRWFWvFsLKlXDjjdCuXegqeuqpMICsZCAiUo1aCJMmQZcuoXVw1llhg/smTeKOSkQka1T9FsLy5XD55XDggfDDD/DKK2ErMSUDEZH1VO0WwvjxoRjd55/D+eeHvQsaNIg7KhGRrFQ1WwjLloUEcPjh4fG//gVDhigZiIgkUfUSwiuvhAVmw4aFrqKPPw7rC0REJKmqkxCWLAmDxSeeCI0bw4cfwl13ld0yTEREypX7CcE9TB/day8YMQJuuiksNNtvv7gjExHJKbk9qLxoUShGN2pUqEY6fHjYu0BERDZYbrYQiopCqYm8vFCD6N574b33lAxERDZBLAnBzNqa2YdmNt3MJpvZ/ilf/Nln0KEDXHBB2Oh+5kzo0wdq1kxjxCIiVV9cXUZ3Aje6+2gz+1P0+I8VXvXf/4aS1JtvHmYRdekCZmkOVUSkeogrITiwVfRzA+CrlK5atAhOOgkGDYIddkhXbCIi1ZK5e+Zf1Gwv4A3ACN1W7d19foJzC4CC6GFrYFZGgtw02wBL4w4iBYqz8uRCjKA4K1uuxLmHu9ev6KS0JQQzGwtsV85TfYEOwNvuPtLM/goUuHvHFO452d3zKznUSqc4K1cuxJkLMYLirGxVLc60dRkle4M3s8eB3tHD54Fh6YpDRERSE9e006+Aw6KfjwA+jSkOERGJxDWo3B3ob2a1gN9YN0ZQkaHpC6lSKc7KlQtx5kKMoDgrW5WKM5ZBZRERyT65uVJZREQqnRKCiIgAOZgQNqnsRYaZWS8z+7eZzTazO+OOJxEzu8zM3My2iTuW8pjZXdHf8WMze9HMGsYdU0lmdoyZ/cfMPjOzq+KOpzxm1szM/mVmc6J/j70rvioeZlbTzKaZ2ai4Y0nEzBqa2Yjo3+VcMzso7pjKY2aXRP+9Z5nZ02ZWJ9n5OZcQWFf2oi1wffQ465jZ4cBJwD7u3gq4O+aQymVmzYCjgAVxx5LEGKC1u+8NfAJcHXM8a5lZTWAgcCyQB5xpZnnxRlWu1cBl7p4HHAhcmKVxQpiSPjfuICrQH3jd3fcE9iEL4zWzHYGLgXx3bw3UBM5Idk0uJoSNK3uReT2Afu6+AsDdv405nkTuBa4g/F2zkru/6e6ro4cfAk3jjKeU/YHP3P0Ld18JPEP4IJBV3P1rd58a/fwz4Q1sx3ijKsvMmgLHkcVrk8ysAXAoMBzA3Ve6+4/xRpVQLWCLaEZnXSp4v8zFhNAHuMvMFhI+dWfNp8VSdgcOMbOJZva2mWXdjj1mdhKw2N1nxB3LBugCjI47iBJ2BBaWeLyILHyjLcnMWgL7AhPjjaRc9xE+oBTFHUgSOwFLgEeirq1hZrZl3EGV5u6LCe+RC4CvgWXu/maya7Jyg5wUyl5cUqLsxXCgwrIX6VBBnLWArQnN8/2A58xsZ8/wPN8KYryG0F0Uu2RxuvtL0Tl9CV0fhZmMrSoxs3rASKCPu/8UdzwlmdnxwLfuPsXM/hh3PEnUAtoBvdx9opn1B64Cros3rPWZWSNCa3Un4EfgeTPr7O5PJromKxNCrpS9qCDOHsALUQL4yMyKCIWwlmQqPkgco5m1IfxDmWGhhHhTYKqZ7e/u32QwRCD53xLAzM4Djgc6ZDqpVmAx0KzE46bRsaxjZpsRkkGhu78QdzzlOBg4MSqJXwfYysyedPfOMcdV2iJgkbsXt7BGEBJCtukIfOnuSwDM7AWgPZAwIeRil1GulL34J3A4gJntDtQmi6oiuvtMd9/W3Vu6e0vCP/J2cSSDipjZMYRuhBPdfXnc8ZQyCdjNzHYys9qEQbuXY46pDAtZfzgw193viTue8rj71e7eNPr3eAbwVhYmA6L/Rxaa2R7RoQ7AnBhDSmQBcKCZ1Y3++3eggsHvrGwhVGBjy15k2sPAw2Y2C1gJnJtln2xzyQPA5sCYqDXzobtfEG9IgbuvNrOLCOXcawIPu/vsmMMqz8HA2cBMM5seHbvG3V+LMaZc1gsojD4EfAH8LeZ4yoi6s0YAUwldrdOooISFSleIiAiQm11GIiKSBkoIIiICKCGIiEhECUFERAAlBBERiSghSMaZWeOoWu10M/vGzBZHP/9oZhmdzx1Vz/1TiccnbmzFUjObV17FWDNrYGaPR9VQPzezwmgVaaVK9ruY2f+Z2eWV/ZpStSghSMa5+3fu3jaqWDsEuDf6uS1pqGETrVlJpC2w9k3U3V92936VHMJw4At339XddwE+Ax6t5NeAzPwuUoUpIUi2qWlmD0U13N80sy0AzGwXM3vdzKaY2Ttmtmd0vKWZvRXtlTDOzJpHxx81syFmNhG408y2NLOHzeyjqCDZSdGiopuA06MWyulmdp6ZPRDd43cW9l+YEX21j47/M4pjtpklXRhpZrsCvwduLnH4JmAfM9vDzP5oJer+m9kDUZkOzOx6M5tkoZb90Gi1KWY23szuiH6XT8zskIp+l1IxJfpbnha91gwzm7Dh/+kk1ykhSLbZDRgY7SHxI/CX6PhQQjGx3wOXA4Oi4wOAx6K9EgqB+0vcqynQ3t0vJRTze8vd9yeUFLkL2Iywp8azUYvl2VKx3A+87e77EIqZFa9A7hLFkQ9cbGaNk/w+ecB0d19TfCD6eRqwVwV/iwfcfb+olv0WhFpOxWpFv0sf4Iao9Hay36WkRH/L64Gjo9/3xApikyooF0tXSNX2pbsXl1aYArS0UKGzPaFaY/F5m0ffDwL+HP38BOtvmPR8iTfiowiF04r70esAzSuI5QjgHFj7Jr4sOn6xmZ0S/dyMkMS+S+3X2yCHm9kVhDr2WxMS0ivRc8XF6aYALVO9YQV/y/eAR83suRL3l2pECUGyzYoSP68hfDKuAfwYjTNsiF9K/GzAX9z9PyVPMLMDNuSGFsoydwQOcvflZjaekFwSmQO0NbMa7l4U3aMGYZetqYSkVLKlXic6pw7hk3u+uy80s/8r9TrFf6c1bNj/xwn/lu5+QfT3OA6YYma/d/d0JDrJUuoykqwX1e3/0sxOg1C508z2iZ5+n3XbAnYC3klwmzeAXiX64feNjv8M1E9wzTjCznfF+/w2IOzS90OUDPYk7HeRLPbPCN1D15Y4fC0wzt0XAPOBPDPb3MJe0R2ic4rf/JdGn+pPTfY6KfwuxfEk/Fua2S7uPtHdryeUaW+W5FZSBSkhSK7oBHQ1sxmErpPibSp7AX8zs48J1TwTbR5/M2HM4GMzm826Qd5/Ed6Qp5vZ6aWu6U3otplJ6JrJA14HapnZXKAfYUvPinQhlMj+3MyWEJLIBQDuvhB4DpgVfZ8WHf8ReCg6/gahzHZFkv0uJSX6W95lZjMtVOh9H8ilnfSkEqjaqUgGWaih/ypwsUpPS7ZRQhAREUBdRiIiElFCEBERQAlBREQiSggiIgIoIYiISEQJQUREAPh/Tn7UcOwsQT4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "s = sm.ProbPlot(sp500_garch['z'], dist=scs.t, distargs=(d_best[0],),a = 0.5)\n",
    "x = s.qqplot(line = '45')\n",
    "plt.xlim(-8,8)\n",
    "plt.ylim(-8,8)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "T 為樣本總量，  \n",
    "Tu 為極值個數  \n",
    "$\\large VaR^p_{t+1} = \\sigma_{PF,t+1} F^{-1}_{1-p}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "u =  -1.010735251831188\n",
      "xi =  0.5255888166617831\n",
      "c =  0.14537380566741606\n"
     ]
    }
   ],
   "source": [
    "T = data_train.shape[0]\n",
    "Tu = 50\n",
    "u = data_train.z.sort_values().values[Tu]\n",
    "print('u = ', u)\n",
    "xi = 1 / 50 * np.log(data_train.z.sort_values().values[:Tu] / u).sum()\n",
    "print('xi = ', xi)\n",
    "c = Tu / T * abs(u) ** (1 / xi)\n",
    "print('c = ', c)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculate VaR"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Know the weighted asset. Calculate the VaR  \n",
    "1. Normal Distrubition  \n",
    "$\\large VaR^p_{t+1} = - \\sigma_{PF, t+1} \\Phi_p^{-1}$ \n",
    "2. Student T distribution  \n",
    "$\\large VaR_{PF, t} = \\sigma_{PF} t_{Zt}$ with $zt \\sim^{i.i.d.} t(d) $ \n",
    "\n",
    "where  \n",
    "$ \\large \\sigma_t = \\sqrt{ \\alpha_0 + \\sum_{i = 1}^{p} \\alpha_i \\epsilon_{t-i}^2 + \\sum_{j = 1}^q \\beta_j \\sigma_{t-j}^2}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "p = 0.01\n",
    "phi = norm(0,1).ppf(p)\n",
    "sp500_garch['VAR_norm'] = -sp500_garch['sigma'] * phi\n",
    "sp500_garch['VaR_t'] = -sp500_garch['sigma'] * t(d_best[0]).ppf(p) * ((d_best[0] - 2) / d_best[0]) ** 0.5\n",
    "sp500_garch['VAR_RM'] = -sp500_garch['sigma2'] ** 0.5 * phi"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is the VaR calcultation based on budget $1,000,000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr th {\n",
       "        text-align: left;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>VAR_norm</th>\n",
       "      <th>VaR_t</th>\n",
       "      <th>VAR_RM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>770.000000</td>\n",
       "      <td>770.000000</td>\n",
       "      <td>770.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>4960.670580</td>\n",
       "      <td>5399.429298</td>\n",
       "      <td>4960.670580</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>2968.612722</td>\n",
       "      <td>3231.178980</td>\n",
       "      <td>2968.612722</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>3873.919523</td>\n",
       "      <td>4216.557869</td>\n",
       "      <td>3873.919523</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>4305.138497</td>\n",
       "      <td>4685.917066</td>\n",
       "      <td>4305.138497</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>5355.296916</td>\n",
       "      <td>5828.959331</td>\n",
       "      <td>5355.296916</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>30201.953683</td>\n",
       "      <td>32873.239804</td>\n",
       "      <td>30201.953683</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           VAR_norm         VaR_t        VAR_RM\n",
       "count    770.000000    770.000000    770.000000\n",
       "mean    4960.670580   5399.429298   4960.670580\n",
       "std     2968.612722   3231.178980   2968.612722\n",
       "min        0.000000      0.000000      0.000000\n",
       "25%     3873.919523   4216.557869   3873.919523\n",
       "50%     4305.138497   4685.917066   4305.138497\n",
       "75%     5355.296916   5828.959331   5355.296916\n",
       "max    30201.953683  32873.239804  30201.953683"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500_var = sp500_garch[['date', 'log_return','sigma','VAR_norm','VaR_t','VAR_RM']]\n",
    "budget = 1000000\n",
    "var_data = np.dot(sp500_var[['VAR_norm','VaR_t','VAR_RM']],budget)\n",
    "var = pd.DataFrame(var_data,columns=[['VAR_norm','VaR_t','VAR_RM']], index=sp500_var['date'])\n",
    "var.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xticklabel = sp500_garch.loc[:,'date'].apply(lambda x:str(x.year) + '-' +str(x.month) + '-' +str(x.day))\n",
    "xticks = np.arange(0,sp500_garch.shape[0]+1,np.int((sp500_garch.shape[0]+1)/4))\n",
    "X = np.arange(sp500_garch.shape[0])\n",
    "plt.figure(figsize=(16,5))\n",
    "SP = plt.axes()      \n",
    "\n",
    "plt.plot(X,sp500_garch.VAR_norm,label = 'VAR_NORM') \n",
    "plt.plot(X,sp500_garch.VaR_t,label = 'VAR_t(d)') \n",
    "plt.plot(X,sp500_garch.VAR_RM,label = 'VAR_RM')\n",
    "plt.title('VaR Calculation by different method', size=15)\n",
    "SP.set_xticks(xticks)\n",
    "SP.set_xticklabels(xticklabel[xticks])\n",
    "\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Divide the performance to 3 parts\n",
    "Period | Begin | End | table\n",
    "-- | -- | -- | - \n",
    "Period 1 (3 Years) | 2017-03-01 | to 2020-03-31  | sp500_var_1\n",
    "Period 2 (1 Year) | 2019-03-01 | to 2020-03-31  | sp500_var_2\n",
    "Period 3 (6 Months) | 2019-09-01 | to 2020-03-31  | sp500_var_3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 163,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr th {\n",
       "        text-align: left;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>VAR_norm</th>\n",
       "      <th>VaR_t</th>\n",
       "      <th>VAR_RM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>770.000000</td>\n",
       "      <td>770.000000</td>\n",
       "      <td>770.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>4960.670580</td>\n",
       "      <td>5399.429298</td>\n",
       "      <td>4960.670580</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>2968.612722</td>\n",
       "      <td>3231.178980</td>\n",
       "      <td>2968.612722</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>3873.919523</td>\n",
       "      <td>4216.557869</td>\n",
       "      <td>3873.919523</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>4305.138497</td>\n",
       "      <td>4685.917066</td>\n",
       "      <td>4305.138497</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>5355.296916</td>\n",
       "      <td>5828.959331</td>\n",
       "      <td>5355.296916</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>30201.953683</td>\n",
       "      <td>32873.239804</td>\n",
       "      <td>30201.953683</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           VAR_norm         VaR_t        VAR_RM\n",
       "count    770.000000    770.000000    770.000000\n",
       "mean    4960.670580   5399.429298   4960.670580\n",
       "std     2968.612722   3231.178980   2968.612722\n",
       "min        0.000000      0.000000      0.000000\n",
       "25%     3873.919523   4216.557869   3873.919523\n",
       "50%     4305.138497   4685.917066   4305.138497\n",
       "75%     5355.296916   5828.959331   5355.296916\n",
       "max    30201.953683  32873.239804  30201.953683"
      ]
     },
     "execution_count": 163,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500_var_1 = var.loc['2017-03-01':'2020-03-31',:]\n",
    "sp500_var_1.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x128d94dd0>"
      ]
     },
     "execution_count": 164,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sp500_var_1.plot(title=\"The VaR from 2017/3 to 2020/3\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the pic \"The VaR from 2017/3 to 2020/3\" - `sp500_var_1` table  \n",
    "During three years, it shows that The 25% of Loss (VaR) is 5355.30 (Normal Distribution) and 5828.96 (t distribution)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr th {\n",
       "        text-align: left;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>VAR_norm</th>\n",
       "      <th>VaR_t</th>\n",
       "      <th>VAR_RM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>271.000000</td>\n",
       "      <td>271.000000</td>\n",
       "      <td>271.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>6588.188096</td>\n",
       "      <td>7170.896605</td>\n",
       "      <td>6588.188096</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>4470.877587</td>\n",
       "      <td>4866.315358</td>\n",
       "      <td>4470.877587</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>3634.617848</td>\n",
       "      <td>3956.090568</td>\n",
       "      <td>3634.617848</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>4817.505382</td>\n",
       "      <td>5243.601502</td>\n",
       "      <td>4817.505382</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>5634.273942</td>\n",
       "      <td>6132.611167</td>\n",
       "      <td>5634.273942</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>6490.521927</td>\n",
       "      <td>7064.592112</td>\n",
       "      <td>6490.521927</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>30201.953683</td>\n",
       "      <td>32873.239804</td>\n",
       "      <td>30201.953683</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           VAR_norm         VaR_t        VAR_RM\n",
       "count    271.000000    271.000000    271.000000\n",
       "mean    6588.188096   7170.896605   6588.188096\n",
       "std     4470.877587   4866.315358   4470.877587\n",
       "min     3634.617848   3956.090568   3634.617848\n",
       "25%     4817.505382   5243.601502   4817.505382\n",
       "50%     5634.273942   6132.611167   5634.273942\n",
       "75%     6490.521927   7064.592112   6490.521927\n",
       "max    30201.953683  32873.239804  30201.953683"
      ]
     },
     "execution_count": 157,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500_var_2 = var.loc['2019-03-01':'2020-03-31',:]\n",
    "sp500_var_2.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 158,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x127d9f7d0>"
      ]
     },
     "execution_count": 158,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sp500_var_2.plot(title='The VaR from 2019/3 to 2020/3')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the pic \"The VaR from 2019/3 to 2020/3\" - `sp500_var_2` table  \n",
    "During one year, It shows that The 25% of Loss (VaR) is 6490.52 (Normal Distribution) and 7064.59 (t distribution)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 159,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr th {\n",
       "        text-align: left;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>VAR_norm</th>\n",
       "      <th>VaR_t</th>\n",
       "      <th>VAR_RM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>143.000000</td>\n",
       "      <td>143.000000</td>\n",
       "      <td>143.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>8135.983967</td>\n",
       "      <td>8855.591091</td>\n",
       "      <td>8135.983967</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>5677.648407</td>\n",
       "      <td>6179.821993</td>\n",
       "      <td>5677.648407</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>5168.584098</td>\n",
       "      <td>5625.732239</td>\n",
       "      <td>5168.584098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>5799.440532</td>\n",
       "      <td>6312.386322</td>\n",
       "      <td>5799.440532</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>6214.949392</td>\n",
       "      <td>6764.645886</td>\n",
       "      <td>6214.949392</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>7459.968289</td>\n",
       "      <td>8119.783543</td>\n",
       "      <td>7459.968289</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>30201.953683</td>\n",
       "      <td>32873.239804</td>\n",
       "      <td>30201.953683</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           VAR_norm         VaR_t        VAR_RM\n",
       "count    143.000000    143.000000    143.000000\n",
       "mean    8135.983967   8855.591091   8135.983967\n",
       "std     5677.648407   6179.821993   5677.648407\n",
       "min     5168.584098   5625.732239   5168.584098\n",
       "25%     5799.440532   6312.386322   5799.440532\n",
       "50%     6214.949392   6764.645886   6214.949392\n",
       "75%     7459.968289   8119.783543   7459.968289\n",
       "max    30201.953683  32873.239804  30201.953683"
      ]
     },
     "execution_count": 159,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500_var_3 = var.loc['2019-9-01':'2020-03-31',:]\n",
    "sp500_var_3.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x127f50390>"
      ]
     },
     "execution_count": 160,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sp500_var_3.plot(title='The VaR from 2019/09 to 2020/3')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the pic \"The VaR from 2019/9 to 2020/3\" - `sp500_var_3` table  \n",
    "During half year, It shows that The 25% of Loss (VaR) is 7459.97 (Normal Distribution) and 8119.78 (t distribution)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Portfolio Management"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [],
   "source": [
    "sp500_port = sp500_garch[1:].copy()\n",
    "\n",
    "sp500_port['position_norm'] = 10000 / (sp500_port['VAR_norm']*np.sqrt(10))\n",
    "sp500_port['position_t'] = 10000 / (sp500_port['VaR_t']*np.sqrt(10))\n",
    "sp500_port['position_RM'] = 10000 / (sp500_port['VAR_RM']*np.sqrt(10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [],
   "source": [
    "sp500_port['return_norm'] = (np.exp(sp500_port['log_return']) - 1) * sp500_port['position_norm']\n",
    "sp500_port['return_t'] = (np.exp(sp500_port['log_return']) - 1) * sp500_port['position_t']\n",
    "sp500_port['return_RM'] = (np.exp(sp500_port['log_return']) - 1) * sp500_port['position_RM']\n",
    "\n",
    "sp500_port['cum_norm'] = sp500_port['return_norm'].cumsum()\n",
    "sp500_port['cum_t'] = sp500_port['return_t'].cumsum()\n",
    "sp500_port['cum_RM'] = sp500_port['return_RM'].cumsum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/Daniel_Sou/opt/anaconda3/lib/python3.7/site-packages/pandas/core/series.py:942: FutureWarning: \n",
      "Passing list-likes to .loc or [] with any missing label will raise\n",
      "KeyError in the future, you can use .reindex() as an alternative.\n",
      "\n",
      "See the documentation here:\n",
      "https://pandas.pydata.org/pandas-docs/stable/indexing.html#deprecate-loc-reindex-listlike\n",
      "  return self.loc[key]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.arange(sp500_port.shape[0])\n",
    "xticklabel = sp500_port.loc[:,'date'].apply(lambda x:str(x.year) + '-' +str(x.month) + '-' +str(x.day))\n",
    "xticks = np.arange(0,sp500_port.shape[0],np.int((sp500_port.shape[0])/4))\n",
    "\n",
    "plt.figure(figsize = [20,10])\n",
    "SP = plt.axes()      \n",
    "SP.plot(X,sp500_port['cum_norm'],label = 'Garch-norm')   \n",
    "SP.plot(X,sp500_port['cum_t'],label = 'Garch-t')  \n",
    "SP.plot(X,sp500_port['cum_RM'],label = 'RM')  \n",
    "SP.set_title(\"Normal Return\", size = 20)\n",
    "SP.set_xticks(xticks)\n",
    "SP.set_xticklabels(xticklabel[xticks],rotation=45,size =20)\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Return of RM is the best."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>DGS10_%</th>\n",
       "      <th>dgs10</th>\n",
       "      <th>ytm</th>\n",
       "      <th>price</th>\n",
       "      <th>Yield To Maturity</th>\n",
       "      <th>log_return</th>\n",
       "      <th>sigma2</th>\n",
       "      <th>sigma</th>\n",
       "      <th>z</th>\n",
       "      <th>...</th>\n",
       "      <th>VAR_RM</th>\n",
       "      <th>position_norm</th>\n",
       "      <th>position_t</th>\n",
       "      <th>position_RM</th>\n",
       "      <th>return_norm</th>\n",
       "      <th>return_t</th>\n",
       "      <th>return_RM</th>\n",
       "      <th>cum_norm</th>\n",
       "      <th>cum_t</th>\n",
       "      <th>cum_RM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2017-03-03</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0336</td>\n",
       "      <td>417.97</td>\n",
       "      <td>0.0336</td>\n",
       "      <td>0.000167</td>\n",
       "      <td>3.515394e-08</td>\n",
       "      <td>0.000187</td>\n",
       "      <td>0.893310</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000436</td>\n",
       "      <td>7.250005e+06</td>\n",
       "      <td>6.660869e+06</td>\n",
       "      <td>7.250005e+06</td>\n",
       "      <td>1214.406274</td>\n",
       "      <td>1115.723374</td>\n",
       "      <td>1214.406274</td>\n",
       "      <td>1214.406274</td>\n",
       "      <td>1115.723374</td>\n",
       "      <td>1214.406274</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2017-03-06</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>417.83</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>-0.000335</td>\n",
       "      <td>3.472788e-08</td>\n",
       "      <td>0.000186</td>\n",
       "      <td>-1.797697</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000434</td>\n",
       "      <td>7.294343e+06</td>\n",
       "      <td>6.701603e+06</td>\n",
       "      <td>7.294343e+06</td>\n",
       "      <td>-2443.256824</td>\n",
       "      <td>-2244.717280</td>\n",
       "      <td>-2443.256824</td>\n",
       "      <td>-1228.850550</td>\n",
       "      <td>-1128.993905</td>\n",
       "      <td>-1228.850550</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2017-03-07</td>\n",
       "      <td>2.52</td>\n",
       "      <td>0.0252</td>\n",
       "      <td>0.0340</td>\n",
       "      <td>417.03</td>\n",
       "      <td>0.0340</td>\n",
       "      <td>-0.001916</td>\n",
       "      <td>3.937805e-08</td>\n",
       "      <td>0.000198</td>\n",
       "      <td>-9.657826</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000462</td>\n",
       "      <td>6.850121e+06</td>\n",
       "      <td>6.293479e+06</td>\n",
       "      <td>6.850121e+06</td>\n",
       "      <td>-13115.614153</td>\n",
       "      <td>-12049.836692</td>\n",
       "      <td>-13115.614153</td>\n",
       "      <td>-14344.464703</td>\n",
       "      <td>-13178.830598</td>\n",
       "      <td>-14344.464703</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-08</td>\n",
       "      <td>2.57</td>\n",
       "      <td>0.0257</td>\n",
       "      <td>0.0345</td>\n",
       "      <td>415.75</td>\n",
       "      <td>0.0345</td>\n",
       "      <td>-0.003074</td>\n",
       "      <td>2.573913e-07</td>\n",
       "      <td>0.000507</td>\n",
       "      <td>-6.059169</td>\n",
       "      <td>...</td>\n",
       "      <td>0.001180</td>\n",
       "      <td>2.679344e+06</td>\n",
       "      <td>2.461620e+06</td>\n",
       "      <td>2.679344e+06</td>\n",
       "      <td>-8223.772371</td>\n",
       "      <td>-7555.506964</td>\n",
       "      <td>-8223.772371</td>\n",
       "      <td>-22568.237075</td>\n",
       "      <td>-20734.337562</td>\n",
       "      <td>-22568.237075</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2017-03-09</td>\n",
       "      <td>2.60</td>\n",
       "      <td>0.0260</td>\n",
       "      <td>0.0351</td>\n",
       "      <td>414.10</td>\n",
       "      <td>0.0351</td>\n",
       "      <td>-0.003977</td>\n",
       "      <td>8.089325e-07</td>\n",
       "      <td>0.000899</td>\n",
       "      <td>-4.421390</td>\n",
       "      <td>...</td>\n",
       "      <td>0.002092</td>\n",
       "      <td>1.511364e+06</td>\n",
       "      <td>1.388551e+06</td>\n",
       "      <td>1.511364e+06</td>\n",
       "      <td>-5998.199368</td>\n",
       "      <td>-5510.784473</td>\n",
       "      <td>-5998.199368</td>\n",
       "      <td>-28566.436442</td>\n",
       "      <td>-26245.122035</td>\n",
       "      <td>-28566.436442</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 22 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        date  DGS10_%   dgs10     ytm   price  Yield To Maturity  log_return  \\\n",
       "1 2017-03-03     2.49  0.0249  0.0336  417.97             0.0336    0.000167   \n",
       "2 2017-03-06     2.49  0.0249  0.0337  417.83             0.0337   -0.000335   \n",
       "3 2017-03-07     2.52  0.0252  0.0340  417.03             0.0340   -0.001916   \n",
       "4 2017-03-08     2.57  0.0257  0.0345  415.75             0.0345   -0.003074   \n",
       "5 2017-03-09     2.60  0.0260  0.0351  414.10             0.0351   -0.003977   \n",
       "\n",
       "         sigma2     sigma         z  ...    VAR_RM  position_norm  \\\n",
       "1  3.515394e-08  0.000187  0.893310  ...  0.000436   7.250005e+06   \n",
       "2  3.472788e-08  0.000186 -1.797697  ...  0.000434   7.294343e+06   \n",
       "3  3.937805e-08  0.000198 -9.657826  ...  0.000462   6.850121e+06   \n",
       "4  2.573913e-07  0.000507 -6.059169  ...  0.001180   2.679344e+06   \n",
       "5  8.089325e-07  0.000899 -4.421390  ...  0.002092   1.511364e+06   \n",
       "\n",
       "     position_t   position_RM   return_norm      return_t     return_RM  \\\n",
       "1  6.660869e+06  7.250005e+06   1214.406274   1115.723374   1214.406274   \n",
       "2  6.701603e+06  7.294343e+06  -2443.256824  -2244.717280  -2443.256824   \n",
       "3  6.293479e+06  6.850121e+06 -13115.614153 -12049.836692 -13115.614153   \n",
       "4  2.461620e+06  2.679344e+06  -8223.772371  -7555.506964  -8223.772371   \n",
       "5  1.388551e+06  1.511364e+06  -5998.199368  -5510.784473  -5998.199368   \n",
       "\n",
       "       cum_norm         cum_t        cum_RM  \n",
       "1   1214.406274   1115.723374   1214.406274  \n",
       "2  -1228.850550  -1128.993905  -1228.850550  \n",
       "3 -14344.464703 -13178.830598 -14344.464703  \n",
       "4 -22568.237075 -20734.337562 -22568.237075  \n",
       "5 -28566.436442 -26245.122035 -28566.436442  \n",
       "\n",
       "[5 rows x 22 columns]"
      ]
     },
     "execution_count": 143,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500_port.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>VAR_norm</th>\n",
       "      <th>VaR_t</th>\n",
       "      <th>VAR_RM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>769.000000</td>\n",
       "      <td>769.000000</td>\n",
       "      <td>769.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>0.004967</td>\n",
       "      <td>0.005406</td>\n",
       "      <td>0.004967</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.002965</td>\n",
       "      <td>0.003227</td>\n",
       "      <td>0.002965</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.000434</td>\n",
       "      <td>0.000472</td>\n",
       "      <td>0.000434</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.003879</td>\n",
       "      <td>0.004222</td>\n",
       "      <td>0.003879</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.004307</td>\n",
       "      <td>0.004688</td>\n",
       "      <td>0.004307</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>0.005355</td>\n",
       "      <td>0.005829</td>\n",
       "      <td>0.005355</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>0.030202</td>\n",
       "      <td>0.032873</td>\n",
       "      <td>0.030202</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         VAR_norm       VaR_t      VAR_RM\n",
       "count  769.000000  769.000000  769.000000\n",
       "mean     0.004967    0.005406    0.004967\n",
       "std      0.002965    0.003227    0.002965\n",
       "min      0.000434    0.000472    0.000434\n",
       "25%      0.003879    0.004222    0.003879\n",
       "50%      0.004307    0.004688    0.004307\n",
       "75%      0.005355    0.005829    0.005355\n",
       "max      0.030202    0.032873    0.030202"
      ]
     },
     "execution_count": 144,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500_port[['VAR_norm','VaR_t','VAR_RM',]].describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>cum_norm</th>\n",
       "      <th>cum_t</th>\n",
       "      <th>cum_RM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>769.000000</td>\n",
       "      <td>769.000000</td>\n",
       "      <td>769.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>34626.901107</td>\n",
       "      <td>31813.112113</td>\n",
       "      <td>34626.901107</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>39592.125169</td>\n",
       "      <td>36374.861063</td>\n",
       "      <td>39592.125169</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>-29159.564587</td>\n",
       "      <td>-26790.052466</td>\n",
       "      <td>-29159.564587</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>6190.847921</td>\n",
       "      <td>5687.778366</td>\n",
       "      <td>6190.847921</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>15574.872452</td>\n",
       "      <td>14309.255164</td>\n",
       "      <td>15574.872452</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>73550.049442</td>\n",
       "      <td>67573.357536</td>\n",
       "      <td>73550.049442</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>127942.735054</td>\n",
       "      <td>117546.082505</td>\n",
       "      <td>127942.735054</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            cum_norm          cum_t         cum_RM\n",
       "count     769.000000     769.000000     769.000000\n",
       "mean    34626.901107   31813.112113   34626.901107\n",
       "std     39592.125169   36374.861063   39592.125169\n",
       "min    -29159.564587  -26790.052466  -29159.564587\n",
       "25%      6190.847921    5687.778366    6190.847921\n",
       "50%     15574.872452   14309.255164   15574.872452\n",
       "75%     73550.049442   67573.357536   73550.049442\n",
       "max    127942.735054  117546.082505  127942.735054"
      ]
     },
     "execution_count": 145,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500_port[['cum_norm', 'cum_t','cum_RM']].describe()"
   ]
  }
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